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Finding the Fourth Proportional to 922,101.65, 1,272,505.82 and 514,229.27

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Solution

The fourth proportional to 922,101.65, 1,272,505.82 and 514,229.27 is: 709,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,101.65 : 1,272,505.82 = 514,229.27 : x
  2. Step 2: Convert to fraction form
    922,101.65/1,272,505.82 = 514,229.27/x
  3. Step 3: Cross multiply
    922,101.65x = 1,272,505.82 × 514,229.27
  4. Step 4: Simplify right side
    922,101.65x = 654,359,736,388.83
  5. Step 5: Solve for x
    x = 654,359,736,388.83/922,101.65
  6. Step 6: Final answer
    x = 709,639.48

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Why These Related Problems?

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