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Finding the Fourth Proportional to 288,339.42, 432,601.68 and 138,590.57

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Solution

The fourth proportional to 288,339.42, 432,601.68 and 138,590.57 is: 207,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,339.42 : 432,601.68 = 138,590.57 : x
  2. Step 2: Convert to fraction form
    288,339.42/432,601.68 = 138,590.57/x
  3. Step 3: Cross multiply
    288,339.42x = 432,601.68 × 138,590.57
  4. Step 4: Simplify right side
    288,339.42x = 59,954,513,414.16
  5. Step 5: Solve for x
    x = 59,954,513,414.16/288,339.42
  6. Step 6: Final answer
    x = 207,930.34

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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.