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Finding the Fourth Proportional to 416,624.80, 574,935.40 and 225,636.52

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Solution

The fourth proportional to 416,624.80, 574,935.40 and 225,636.52 is: 311,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,624.80 : 574,935.40 = 225,636.52 : x
  2. Step 2: Convert to fraction form
    416,624.80/574,935.40 = 225,636.52/x
  3. Step 3: Cross multiply
    416,624.80x = 574,935.40 × 225,636.52
  4. Step 4: Simplify right side
    416,624.80x = 129,726,422,880.81
  5. Step 5: Solve for x
    x = 129,726,422,880.81/416,624.80
  6. Step 6: Final answer
    x = 311,374.70

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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.