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Finding the Fourth Proportional to 417,156.52, 575,687.34 and 235,895.57

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Solution

The fourth proportional to 417,156.52, 575,687.34 and 235,895.57 is: 325,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,156.52 : 575,687.34 = 235,895.57 : x
  2. Step 2: Convert to fraction form
    417,156.52/575,687.34 = 235,895.57/x
  3. Step 3: Cross multiply
    417,156.52x = 575,687.34 × 235,895.57
  4. Step 4: Simplify right side
    417,156.52x = 135,802,094,930.03
  5. Step 5: Solve for x
    x = 135,802,094,930.03/417,156.52
  6. Step 6: Final answer
    x = 325,542.30

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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.