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Finding the Fourth Proportional to 642,007.20, 962,089.20 and 472,202.40

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Solution

The fourth proportional to 642,007.20, 962,089.20 and 472,202.40 is: 707,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,007.20 : 962,089.20 = 472,202.40 : x
  2. Step 2: Convert to fraction form
    642,007.20/962,089.20 = 472,202.40/x
  3. Step 3: Cross multiply
    642,007.20x = 962,089.20 × 472,202.40
  4. Step 4: Simplify right side
    642,007.20x = 454,300,829,254.08
  5. Step 5: Solve for x
    x = 454,300,829,254.08/642,007.20
  6. Step 6: Final answer
    x = 707,625.75

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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.