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Finding the Fourth Proportional to 283,901.67, 391,781.34 and 156,574.53

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Solution

The fourth proportional to 283,901.67, 391,781.34 and 156,574.53 is: 216,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,901.67 : 391,781.34 = 156,574.53 : x
  2. Step 2: Convert to fraction form
    283,901.67/391,781.34 = 156,574.53/x
  3. Step 3: Cross multiply
    283,901.67x = 391,781.34 × 156,574.53
  4. Step 4: Simplify right side
    283,901.67x = 61,342,979,173.27
  5. Step 5: Solve for x
    x = 61,342,979,173.27/283,901.67
  6. Step 6: Final answer
    x = 216,071.22

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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.