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Finding the Fourth Proportional to 513,001.20, 769,501.80 and 471,010.80

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Solution

The fourth proportional to 513,001.20, 769,501.80 and 471,010.80 is: 706,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,001.20 : 769,501.80 = 471,010.80 : x
  2. Step 2: Convert to fraction form
    513,001.20/769,501.80 = 471,010.80/x
  3. Step 3: Cross multiply
    513,001.20x = 769,501.80 × 471,010.80
  4. Step 4: Simplify right side
    513,001.20x = 362,443,658,419.44
  5. Step 5: Solve for x
    x = 362,443,658,419.44/513,001.20
  6. Step 6: Final answer
    x = 706,516.20

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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.