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Finding the Fourth Proportional to 513,902.30, 770,853.45 and 181,478.30

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Solution

The fourth proportional to 513,902.30, 770,853.45 and 181,478.30 is: 272,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,902.30 : 770,853.45 = 181,478.30 : x
  2. Step 2: Convert to fraction form
    513,902.30/770,853.45 = 181,478.30/x
  3. Step 3: Cross multiply
    513,902.30x = 770,853.45 × 181,478.30
  4. Step 4: Simplify right side
    513,902.30x = 139,893,173,655.14
  5. Step 5: Solve for x
    x = 139,893,173,655.14/513,902.30
  6. Step 6: Final answer
    x = 272,217.45

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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.