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Finding the Fourth Proportional to 922,121.16, 1,272,532.78 and 514,248.82

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Solution

The fourth proportional to 922,121.16, 1,272,532.78 and 514,248.82 is: 709,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,121.16 : 1,272,532.78 = 514,248.82 : x
  2. Step 2: Convert to fraction form
    922,121.16/1,272,532.78 = 514,248.82/x
  3. Step 3: Cross multiply
    922,121.16x = 1,272,532.78 × 514,248.82
  4. Step 4: Simplify right side
    922,121.16x = 654,398,480,526.32
  5. Step 5: Solve for x
    x = 654,398,480,526.32/922,121.16
  6. Step 6: Final answer
    x = 709,666.48

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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.