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Finding the Fourth Proportional to 463,345.60, 696,503.20 and 430,475.20

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Solution

The fourth proportional to 463,345.60, 696,503.20 and 430,475.20 is: 647,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,345.60 : 696,503.20 = 430,475.20 : x
  2. Step 2: Convert to fraction form
    463,345.60/696,503.20 = 430,475.20/x
  3. Step 3: Cross multiply
    463,345.60x = 696,503.20 × 430,475.20
  4. Step 4: Simplify right side
    463,345.60x = 299,827,354,320.64
  5. Step 5: Solve for x
    x = 299,827,354,320.64/463,345.60
  6. Step 6: Final answer
    x = 647,092.27

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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.