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Finding the Fourth Proportional to 431,957.10, 647,935.65 and 243,000.30

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Solution

The fourth proportional to 431,957.10, 647,935.65 and 243,000.30 is: 364,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,957.10 : 647,935.65 = 243,000.30 : x
  2. Step 2: Convert to fraction form
    431,957.10/647,935.65 = 243,000.30/x
  3. Step 3: Cross multiply
    431,957.10x = 647,935.65 × 243,000.30
  4. Step 4: Simplify right side
    431,957.10x = 157,448,557,330.70
  5. Step 5: Solve for x
    x = 157,448,557,330.70/431,957.10
  6. Step 6: Final answer
    x = 364,500.45

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