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Finding the Fourth Proportional to 417,157.14, 575,641.40 and 235,843.90

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Solution

The fourth proportional to 417,157.14, 575,641.40 and 235,843.90 is: 325,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,157.14 : 575,641.40 = 235,843.90 : x
  2. Step 2: Convert to fraction form
    417,157.14/575,641.40 = 235,843.90/x
  3. Step 3: Cross multiply
    417,157.14x = 575,641.40 × 235,843.90
  4. Step 4: Simplify right side
    417,157.14x = 135,761,512,777.46
  5. Step 5: Solve for x
    x = 135,761,512,777.46/417,157.14
  6. Step 6: Final answer
    x = 325,444.54

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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.