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Finding the Fourth Proportional to 416,262.40, 574,443.60 and 225,275.76

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Solution

The fourth proportional to 416,262.40, 574,443.60 and 225,275.76 is: 310,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,262.40 : 574,443.60 = 225,275.76 : x
  2. Step 2: Convert to fraction form
    416,262.40/574,443.60 = 225,275.76/x
  3. Step 3: Cross multiply
    416,262.40x = 574,443.60 × 225,275.76
  4. Step 4: Simplify right side
    416,262.40x = 129,408,218,567.14
  5. Step 5: Solve for x
    x = 129,408,218,567.14/416,262.40
  6. Step 6: Final answer
    x = 310,881.35

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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.