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Finding the Fourth Proportional to 521,367.20, 782,050.80 and 409,392.80

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Solution

The fourth proportional to 521,367.20, 782,050.80 and 409,392.80 is: 614,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,367.20 : 782,050.80 = 409,392.80 : x
  2. Step 2: Convert to fraction form
    521,367.20/782,050.80 = 409,392.80/x
  3. Step 3: Cross multiply
    521,367.20x = 782,050.80 × 409,392.80
  4. Step 4: Simplify right side
    521,367.20x = 320,165,966,754.24
  5. Step 5: Solve for x
    x = 320,165,966,754.24/521,367.20
  6. Step 6: Final answer
    x = 614,089.20

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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.