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Finding the Fourth Proportional to 417,151.38, 575,633.46 and 235,838.16

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Solution

The fourth proportional to 417,151.38, 575,633.46 and 235,838.16 is: 325,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,151.38 : 575,633.46 = 235,838.16 : x
  2. Step 2: Convert to fraction form
    417,151.38/575,633.46 = 235,838.16/x
  3. Step 3: Cross multiply
    417,151.38x = 575,633.46 × 235,838.16
  4. Step 4: Simplify right side
    417,151.38x = 135,756,336,040.83
  5. Step 5: Solve for x
    x = 135,756,336,040.83/417,151.38
  6. Step 6: Final answer
    x = 325,436.62

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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.