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Finding the Fourth Proportional to 522,031.20, 783,046.80 and 410,056.80

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Solution

The fourth proportional to 522,031.20, 783,046.80 and 410,056.80 is: 615,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,031.20 : 783,046.80 = 410,056.80 : x
  2. Step 2: Convert to fraction form
    522,031.20/783,046.80 = 410,056.80/x
  3. Step 3: Cross multiply
    522,031.20x = 783,046.80 × 410,056.80
  4. Step 4: Simplify right side
    522,031.20x = 321,093,665,058.24
  5. Step 5: Solve for x
    x = 321,093,665,058.24/522,031.20
  6. Step 6: Final answer
    x = 615,085.20

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Similar ratio
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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.