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Finding the Fourth Proportional to 283,572.54, 391,294.53 and 162,697.86

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Solution

The fourth proportional to 283,572.54, 391,294.53 and 162,697.86 is: 224,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,572.54 : 391,294.53 = 162,697.86 : x
  2. Step 2: Convert to fraction form
    283,572.54/391,294.53 = 162,697.86/x
  3. Step 3: Cross multiply
    283,572.54x = 391,294.53 × 162,697.86
  4. Step 4: Simplify right side
    283,572.54x = 63,662,782,660.71
  5. Step 5: Solve for x
    x = 63,662,782,660.71/283,572.54
  6. Step 6: Final answer
    x = 224,502.64

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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.