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Finding the Fourth Proportional to 417,261.82, 575,821.62 and 226,275.16

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Solution

The fourth proportional to 417,261.82, 575,821.62 and 226,275.16 is: 312,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,261.82 : 575,821.62 = 226,275.16 : x
  2. Step 2: Convert to fraction form
    417,261.82/575,821.62 = 226,275.16/x
  3. Step 3: Cross multiply
    417,261.82x = 575,821.62 × 226,275.16
  4. Step 4: Simplify right side
    417,261.82x = 130,294,129,196.96
  5. Step 5: Solve for x
    x = 130,294,129,196.96/417,261.82
  6. Step 6: Final answer
    x = 312,259.89

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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.