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Finding the Fourth Proportional to 522,713.80, 782,904.30 and 404,000.20

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Solution

The fourth proportional to 522,713.80, 782,904.30 and 404,000.20 is: 605,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,713.80 : 782,904.30 = 404,000.20 : x
  2. Step 2: Convert to fraction form
    522,713.80/782,904.30 = 404,000.20/x
  3. Step 3: Cross multiply
    522,713.80x = 782,904.30 × 404,000.20
  4. Step 4: Simplify right side
    522,713.80x = 316,293,493,780.86
  5. Step 5: Solve for x
    x = 316,293,493,780.86/522,713.80
  6. Step 6: Final answer
    x = 605,098.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.