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Finding the Fourth Proportional to 513,181.47, 769,580.80 and 176,126.50

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Solution

The fourth proportional to 513,181.47, 769,580.80 and 176,126.50 is: 264,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,181.47 : 769,580.80 = 176,126.50 : x
  2. Step 2: Convert to fraction form
    513,181.47/769,580.80 = 176,126.50/x
  3. Step 3: Cross multiply
    513,181.47x = 769,580.80 × 176,126.50
  4. Step 4: Simplify right side
    513,181.47x = 135,543,573,292.86
  5. Step 5: Solve for x
    x = 135,543,573,292.86/513,181.47
  6. Step 6: Final answer
    x = 264,124.06

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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.