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Finding the Fourth Proportional to 499,257.60, 689,095.20 and 284,450.40

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Solution

The fourth proportional to 499,257.60, 689,095.20 and 284,450.40 is: 392,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,257.60 : 689,095.20 = 284,450.40 : x
  2. Step 2: Convert to fraction form
    499,257.60/689,095.20 = 284,450.40/x
  3. Step 3: Cross multiply
    499,257.60x = 689,095.20 × 284,450.40
  4. Step 4: Simplify right side
    499,257.60x = 196,013,405,278.08
  5. Step 5: Solve for x
    x = 196,013,405,278.08/499,257.60
  6. Step 6: Final answer
    x = 392,609.76

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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.