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Finding the Fourth Proportional to 417,259.90, 575,818.82 and 226,273.24

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Solution

The fourth proportional to 417,259.90, 575,818.82 and 226,273.24 is: 312,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,259.90 : 575,818.82 = 226,273.24 : x
  2. Step 2: Convert to fraction form
    417,259.90/575,818.82 = 226,273.24/x
  3. Step 3: Cross multiply
    417,259.90x = 575,818.82 × 226,273.24
  4. Step 4: Simplify right side
    417,259.90x = 130,292,390,054.38
  5. Step 5: Solve for x
    x = 130,292,390,054.38/417,259.90
  6. Step 6: Final answer
    x = 312,257.16

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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.