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Finding the Fourth Proportional to 463,523.20, 696,129.60 and 405,462.40

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Solution

The fourth proportional to 463,523.20, 696,129.60 and 405,462.40 is: 608,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,523.20 : 696,129.60 = 405,462.40 : x
  2. Step 2: Convert to fraction form
    463,523.20/696,129.60 = 405,462.40/x
  3. Step 3: Cross multiply
    463,523.20x = 696,129.60 × 405,462.40
  4. Step 4: Simplify right side
    463,523.20x = 282,254,378,327.04
  5. Step 5: Solve for x
    x = 282,254,378,327.04/463,523.20
  6. Step 6: Final answer
    x = 608,932.58

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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.