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Finding the Fourth Proportional to 687,275.33, 948,491.82 and 381,409.47

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Solution

The fourth proportional to 687,275.33, 948,491.82 and 381,409.47 is: 526,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,275.33 : 948,491.82 = 381,409.47 : x
  2. Step 2: Convert to fraction form
    687,275.33/948,491.82 = 381,409.47/x
  3. Step 3: Cross multiply
    687,275.33x = 948,491.82 × 381,409.47
  4. Step 4: Simplify right side
    687,275.33x = 361,763,762,365.54
  5. Step 5: Solve for x
    x = 361,763,762,365.54/687,275.33
  6. Step 6: Final answer
    x = 526,373.86

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Why These Related Problems?

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