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Finding the Fourth Proportional to 510,147.90, 765,221.85 and 478,655.10

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Solution

The fourth proportional to 510,147.90, 765,221.85 and 478,655.10 is: 717,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,147.90 : 765,221.85 = 478,655.10 : x
  2. Step 2: Convert to fraction form
    510,147.90/765,221.85 = 478,655.10/x
  3. Step 3: Cross multiply
    510,147.90x = 765,221.85 × 478,655.10
  4. Step 4: Simplify right side
    510,147.90x = 366,277,341,133.94
  5. Step 5: Solve for x
    x = 366,277,341,133.94/510,147.90
  6. Step 6: Final answer
    x = 717,982.65

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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.