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Finding the Fourth Proportional to 922,068, 1,272,476.34 and 514,165.86

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Solution

The fourth proportional to 922,068, 1,272,476.34 and 514,165.86 is: 709,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,068 : 1,272,476.34 = 514,165.86 : x
  2. Step 2: Convert to fraction form
    922,068/1,272,476.34 = 514,165.86/x
  3. Step 3: Cross multiply
    922,068x = 1,272,476.34 × 514,165.86
  4. Step 4: Simplify right side
    922,068x = 654,263,891,685.75
  5. Step 5: Solve for x
    x = 654,263,891,685.75/922,068
  6. Step 6: Final answer
    x = 709,561.43

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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.