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Finding the Fourth Proportional to 522,031.80, 783,047.70 and 256,311.30

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Solution

The fourth proportional to 522,031.80, 783,047.70 and 256,311.30 is: 384,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,031.80 : 783,047.70 = 256,311.30 : x
  2. Step 2: Convert to fraction form
    522,031.80/783,047.70 = 256,311.30/x
  3. Step 3: Cross multiply
    522,031.80x = 783,047.70 × 256,311.30
  4. Step 4: Simplify right side
    522,031.80x = 200,703,973,949.01
  5. Step 5: Solve for x
    x = 200,703,973,949.01/522,031.80
  6. Step 6: Final answer
    x = 384,466.95

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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.