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Finding the Fourth Proportional to 283,663.81, 391,473.57 and 156,339.10

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Solution

The fourth proportional to 283,663.81, 391,473.57 and 156,339.10 is: 215,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,663.81 : 391,473.57 = 156,339.10 : x
  2. Step 2: Convert to fraction form
    283,663.81/391,473.57 = 156,339.10/x
  3. Step 3: Cross multiply
    283,663.81x = 391,473.57 × 156,339.10
  4. Step 4: Simplify right side
    283,663.81x = 61,202,625,607.59
  5. Step 5: Solve for x
    x = 61,202,625,607.59/283,663.81
  6. Step 6: Final answer
    x = 215,757.61

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1.5x scale

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.