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Finding the Fourth Proportional to 513,710.38, 770,374 and 176,655.61

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Solution

The fourth proportional to 513,710.38, 770,374 and 176,655.61 is: 264,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,710.38 : 770,374 = 176,655.61 : x
  2. Step 2: Convert to fraction form
    513,710.38/770,374 = 176,655.61/x
  3. Step 3: Cross multiply
    513,710.38x = 770,374 × 176,655.61
  4. Step 4: Simplify right side
    513,710.38x = 136,090,888,898.14
  5. Step 5: Solve for x
    x = 136,090,888,898.14/513,710.38
  6. Step 6: Final answer
    x = 264,917.54

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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.