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Finding the Fourth Proportional to 463,419.60, 695,129.40 and 441,768.30

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Solution

The fourth proportional to 463,419.60, 695,129.40 and 441,768.30 is: 662,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,419.60 : 695,129.40 = 441,768.30 : x
  2. Step 2: Convert to fraction form
    463,419.60/695,129.40 = 441,768.30/x
  3. Step 3: Cross multiply
    463,419.60x = 695,129.40 × 441,768.30
  4. Step 4: Simplify right side
    463,419.60x = 307,086,133,318.02
  5. Step 5: Solve for x
    x = 307,086,133,318.02/463,419.60
  6. Step 6: Final answer
    x = 662,652.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.