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Finding the Fourth Proportional to 462,003.10, 645,229.70 and 462,003.10

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Solution

The fourth proportional to 462,003.10, 645,229.70 and 462,003.10 is: 645,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,003.10 : 645,229.70 = 462,003.10 : x
  2. Step 2: Convert to fraction form
    462,003.10/645,229.70 = 462,003.10/x
  3. Step 3: Cross multiply
    462,003.10x = 645,229.70 × 462,003.10
  4. Step 4: Simplify right side
    462,003.10x = 298,098,121,612.07
  5. Step 5: Solve for x
    x = 298,098,121,612.07/462,003.10
  6. Step 6: Final answer
    x = 645,229.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.