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Finding the Fourth Proportional to 417,121.71, 575,657.46 and 235,835.40

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Solution

The fourth proportional to 417,121.71, 575,657.46 and 235,835.40 is: 325,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,121.71 : 575,657.46 = 235,835.40 : x
  2. Step 2: Convert to fraction form
    417,121.71/575,657.46 = 235,835.40/x
  3. Step 3: Cross multiply
    417,121.71x = 575,657.46 × 235,835.40
  4. Step 4: Simplify right side
    417,121.71x = 135,760,407,342.08
  5. Step 5: Solve for x
    x = 135,760,407,342.08/417,121.71
  6. Step 6: Final answer
    x = 325,469.53

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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.