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Finding the Fourth Proportional to 513,828.20, 770,742.30 and 478,836.20

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Solution

The fourth proportional to 513,828.20, 770,742.30 and 478,836.20 is: 718,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,828.20 : 770,742.30 = 478,836.20 : x
  2. Step 2: Convert to fraction form
    513,828.20/770,742.30 = 478,836.20/x
  3. Step 3: Cross multiply
    513,828.20x = 770,742.30 × 478,836.20
  4. Step 4: Simplify right side
    513,828.20x = 369,059,314,111.26
  5. Step 5: Solve for x
    x = 369,059,314,111.26/513,828.20
  6. Step 6: Final answer
    x = 718,254.30

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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.