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Finding the Fourth Proportional to 687,478, 948,705.37 and 381,536.61

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Solution

The fourth proportional to 687,478, 948,705.37 and 381,536.61 is: 526,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,478 : 948,705.37 = 381,536.61 : x
  2. Step 2: Convert to fraction form
    687,478/948,705.37 = 381,536.61/x
  3. Step 3: Cross multiply
    687,478x = 948,705.37 × 381,536.61
  4. Step 4: Simplify right side
    687,478x = 361,965,830,758.60
  5. Step 5: Solve for x
    x = 361,965,830,758.60/687,478
  6. Step 6: Final answer
    x = 526,512.60

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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.