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Finding the Fourth Proportional to 463,659.40, 695,489.10 and 148,148.20

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Solution

The fourth proportional to 463,659.40, 695,489.10 and 148,148.20 is: 222,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,659.40 : 695,489.10 = 148,148.20 : x
  2. Step 2: Convert to fraction form
    463,659.40/695,489.10 = 148,148.20/x
  3. Step 3: Cross multiply
    463,659.40x = 695,489.10 × 148,148.20
  4. Step 4: Simplify right side
    463,659.40x = 103,035,458,284.62
  5. Step 5: Solve for x
    x = 103,035,458,284.62/463,659.40
  6. Step 6: Final answer
    x = 222,222.30

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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.