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Finding the Fourth Proportional to 502,645.70, 753,968.55 and 413,999.30

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Solution

The fourth proportional to 502,645.70, 753,968.55 and 413,999.30 is: 620,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,645.70 : 753,968.55 = 413,999.30 : x
  2. Step 2: Convert to fraction form
    502,645.70/753,968.55 = 413,999.30/x
  3. Step 3: Cross multiply
    502,645.70x = 753,968.55 × 413,999.30
  4. Step 4: Simplify right side
    502,645.70x = 312,142,451,922.02
  5. Step 5: Solve for x
    x = 312,142,451,922.02/502,645.70
  6. Step 6: Final answer
    x = 620,998.95

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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.