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Finding the Fourth Proportional to 641,212.20, 884,713.86 and 414,585

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Solution

The fourth proportional to 641,212.20, 884,713.86 and 414,585 is: 572,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,212.20 : 884,713.86 = 414,585 : x
  2. Step 2: Convert to fraction form
    641,212.20/884,713.86 = 414,585/x
  3. Step 3: Cross multiply
    641,212.20x = 884,713.86 × 414,585
  4. Step 4: Simplify right side
    641,212.20x = 366,789,095,648.10
  5. Step 5: Solve for x
    x = 366,789,095,648.10/641,212.20
  6. Step 6: Final answer
    x = 572,024.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.