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Finding the Fourth Proportional to 417,064.52, 575,549.90 and 226,077.90

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Solution

The fourth proportional to 417,064.52, 575,549.90 and 226,077.90 is: 311,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,064.52 : 575,549.90 = 226,077.90 : x
  2. Step 2: Convert to fraction form
    417,064.52/575,549.90 = 226,077.90/x
  3. Step 3: Cross multiply
    417,064.52x = 575,549.90 × 226,077.90
  4. Step 4: Simplify right side
    417,064.52x = 130,119,111,606.82
  5. Step 5: Solve for x
    x = 130,119,111,606.82/417,064.52
  6. Step 6: Final answer
    x = 311,987.97

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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.