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Finding the Fourth Proportional to 283,930.64, 391,793.16 and 156,598.16

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Solution

The fourth proportional to 283,930.64, 391,793.16 and 156,598.16 is: 216,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,930.64 : 391,793.16 = 156,598.16 : x
  2. Step 2: Convert to fraction form
    283,930.64/391,793.16 = 156,598.16/x
  3. Step 3: Cross multiply
    283,930.64x = 391,793.16 × 156,598.16
  4. Step 4: Simplify right side
    283,930.64x = 61,354,087,956.59
  5. Step 5: Solve for x
    x = 61,354,087,956.59/283,930.64
  6. Step 6: Final answer
    x = 216,088.30

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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.