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Finding the Fourth Proportional to 417,103.60, 575,605.92 and 226,120

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Solution

The fourth proportional to 417,103.60, 575,605.92 and 226,120 is: 312,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,103.60 : 575,605.92 = 226,120 : x
  2. Step 2: Convert to fraction form
    417,103.60/575,605.92 = 226,120/x
  3. Step 3: Cross multiply
    417,103.60x = 575,605.92 × 226,120
  4. Step 4: Simplify right side
    417,103.60x = 130,156,010,630.40
  5. Step 5: Solve for x
    x = 130,156,010,630.40/417,103.60
  6. Step 6: Final answer
    x = 312,047.20

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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.