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Finding the Fourth Proportional to 390,972.58, 586,507.16 and 138,200.93

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Solution

The fourth proportional to 390,972.58, 586,507.16 and 138,200.93 is: 207,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,972.58 : 586,507.16 = 138,200.93 : x
  2. Step 2: Convert to fraction form
    390,972.58/586,507.16 = 138,200.93/x
  3. Step 3: Cross multiply
    390,972.58x = 586,507.16 × 138,200.93
  4. Step 4: Simplify right side
    390,972.58x = 81,055,834,963.66
  5. Step 5: Solve for x
    x = 81,055,834,963.66/390,972.58
  6. Step 6: Final answer
    x = 207,318.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.