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Finding the Fourth Proportional to 517,997.15, 714,869.93 and 314,066.69

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Solution

The fourth proportional to 517,997.15, 714,869.93 and 314,066.69 is: 433,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,997.15 : 714,869.93 = 314,066.69 : x
  2. Step 2: Convert to fraction form
    517,997.15/714,869.93 = 314,066.69/x
  3. Step 3: Cross multiply
    517,997.15x = 714,869.93 × 314,066.69
  4. Step 4: Simplify right side
    517,997.15x = 224,516,832,695.63
  5. Step 5: Solve for x
    x = 224,516,832,695.63/517,997.15
  6. Step 6: Final answer
    x = 433,432.56

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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.