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Finding the Fourth Proportional to 520,098.10, 780,147.15 and 296,149.30

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Solution

The fourth proportional to 520,098.10, 780,147.15 and 296,149.30 is: 444,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.10 : 780,147.15 = 296,149.30 : x
  2. Step 2: Convert to fraction form
    520,098.10/780,147.15 = 296,149.30/x
  3. Step 3: Cross multiply
    520,098.10x = 780,147.15 × 296,149.30
  4. Step 4: Simplify right side
    520,098.10x = 231,040,032,369.50
  5. Step 5: Solve for x
    x = 231,040,032,369.50/520,098.10
  6. Step 6: Final answer
    x = 444,223.95

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Double scale
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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.