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Finding the Fourth Proportional to 513,842.20, 770,763.30 and 478,850.20

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Solution

The fourth proportional to 513,842.20, 770,763.30 and 478,850.20 is: 718,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,842.20 : 770,763.30 = 478,850.20 : x
  2. Step 2: Convert to fraction form
    513,842.20/770,763.30 = 478,850.20/x
  3. Step 3: Cross multiply
    513,842.20x = 770,763.30 × 478,850.20
  4. Step 4: Simplify right side
    513,842.20x = 369,080,160,357.66
  5. Step 5: Solve for x
    x = 369,080,160,357.66/513,842.20
  6. Step 6: Final answer
    x = 718,275.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.