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Finding the Fourth Proportional to 417,104.60, 575,607.30 and 226,121

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Solution

The fourth proportional to 417,104.60, 575,607.30 and 226,121 is: 312,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,104.60 : 575,607.30 = 226,121 : x
  2. Step 2: Convert to fraction form
    417,104.60/575,607.30 = 226,121/x
  3. Step 3: Cross multiply
    417,104.60x = 575,607.30 × 226,121
  4. Step 4: Simplify right side
    417,104.60x = 130,156,898,283.30
  5. Step 5: Solve for x
    x = 130,156,898,283.30/417,104.60
  6. Step 6: Final answer
    x = 312,048.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.