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Finding the Fourth Proportional to 283,590.38, 391,362.95 and 156,274.17

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Solution

The fourth proportional to 283,590.38, 391,362.95 and 156,274.17 is: 215,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,590.38 : 391,362.95 = 156,274.17 : x
  2. Step 2: Convert to fraction form
    283,590.38/391,362.95 = 156,274.17/x
  3. Step 3: Cross multiply
    283,590.38x = 391,362.95 × 156,274.17
  4. Step 4: Simplify right side
    283,590.38x = 61,159,920,570.69
  5. Step 5: Solve for x
    x = 61,159,920,570.69/283,590.38
  6. Step 6: Final answer
    x = 215,662.89

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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.