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Finding the Fourth Proportional to 417,101.60, 575,603.16 and 226,118

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Solution

The fourth proportional to 417,101.60, 575,603.16 and 226,118 is: 312,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,101.60 : 575,603.16 = 226,118 : x
  2. Step 2: Convert to fraction form
    417,101.60/575,603.16 = 226,118/x
  3. Step 3: Cross multiply
    417,101.60x = 575,603.16 × 226,118
  4. Step 4: Simplify right side
    417,101.60x = 130,154,235,332.88
  5. Step 5: Solve for x
    x = 130,154,235,332.88/417,101.60
  6. Step 6: Final answer
    x = 312,044.44

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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.