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Finding the Fourth Proportional to 283,744.88, 391,569.12 and 156,417.68

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Solution

The fourth proportional to 283,744.88, 391,569.12 and 156,417.68 is: 215,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744.88 : 391,569.12 = 156,417.68 : x
  2. Step 2: Convert to fraction form
    283,744.88/391,569.12 = 156,417.68/x
  3. Step 3: Cross multiply
    283,744.88x = 391,569.12 × 156,417.68
  4. Step 4: Simplify right side
    283,744.88x = 61,248,333,310.04
  5. Step 5: Solve for x
    x = 61,248,333,310.04/283,744.88
  6. Step 6: Final answer
    x = 215,857.05

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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.