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Finding the Fourth Proportional to 283,719.60, 391,423.20 and 162,817.20

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Solution

The fourth proportional to 283,719.60, 391,423.20 and 162,817.20 is: 224,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,719.60 : 391,423.20 = 162,817.20 : x
  2. Step 2: Convert to fraction form
    283,719.60/391,423.20 = 162,817.20/x
  3. Step 3: Cross multiply
    283,719.60x = 391,423.20 × 162,817.20
  4. Step 4: Simplify right side
    283,719.60x = 63,730,429,439.04
  5. Step 5: Solve for x
    x = 63,730,429,439.04/283,719.60
  6. Step 6: Final answer
    x = 224,624.70

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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.