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Finding the Fourth Proportional to 564,132.89, 846,323.91 and 209,146.95

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Solution

The fourth proportional to 564,132.89, 846,323.91 and 209,146.95 is: 313,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,132.89 : 846,323.91 = 209,146.95 : x
  2. Step 2: Convert to fraction form
    564,132.89/846,323.91 = 209,146.95/x
  3. Step 3: Cross multiply
    564,132.89x = 846,323.91 × 209,146.95
  4. Step 4: Simplify right side
    564,132.89x = 177,006,064,488.58
  5. Step 5: Solve for x
    x = 177,006,064,488.58/564,132.89
  6. Step 6: Final answer
    x = 313,766.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.