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Finding the Fourth Proportional to 417,029.04, 575,502.17 and 226,040.76

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Solution

The fourth proportional to 417,029.04, 575,502.17 and 226,040.76 is: 311,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,029.04 : 575,502.17 = 226,040.76 : x
  2. Step 2: Convert to fraction form
    417,029.04/575,502.17 = 226,040.76/x
  3. Step 3: Cross multiply
    417,029.04x = 575,502.17 × 226,040.76
  4. Step 4: Simplify right side
    417,029.04x = 130,086,946,758.25
  5. Step 5: Solve for x
    x = 130,086,946,758.25/417,029.04
  6. Step 6: Final answer
    x = 311,937.38

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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.