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Finding the Fourth Proportional to 687,186.68, 948,285.47 and 381,259.80

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Solution

The fourth proportional to 687,186.68, 948,285.47 and 381,259.80 is: 526,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,186.68 : 948,285.47 = 381,259.80 : x
  2. Step 2: Convert to fraction form
    687,186.68/948,285.47 = 381,259.80/x
  3. Step 3: Cross multiply
    687,186.68x = 948,285.47 × 381,259.80
  4. Step 4: Simplify right side
    687,186.68x = 361,543,126,728.81
  5. Step 5: Solve for x
    x = 361,543,126,728.81/687,186.68
  6. Step 6: Final answer
    x = 526,120.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.