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Finding the Fourth Proportional to 416,856.66, 575,262.70 and 225,869.90

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Solution

The fourth proportional to 416,856.66, 575,262.70 and 225,869.90 is: 311,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,856.66 : 575,262.70 = 225,869.90 : x
  2. Step 2: Convert to fraction form
    416,856.66/575,262.70 = 225,869.90/x
  3. Step 3: Cross multiply
    416,856.66x = 575,262.70 × 225,869.90
  4. Step 4: Simplify right side
    416,856.66x = 129,934,528,522.73
  5. Step 5: Solve for x
    x = 129,934,528,522.73/416,856.66
  6. Step 6: Final answer
    x = 311,700.74

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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.