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Finding the Fourth Proportional to 417,157.39, 575,689.34 and 235,865.43

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Solution

The fourth proportional to 417,157.39, 575,689.34 and 235,865.43 is: 325,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,157.39 : 575,689.34 = 235,865.43 : x
  2. Step 2: Convert to fraction form
    417,157.39/575,689.34 = 235,865.43/x
  3. Step 3: Cross multiply
    417,157.39x = 575,689.34 × 235,865.43
  4. Step 4: Simplify right side
    417,157.39x = 135,785,213,725.52
  5. Step 5: Solve for x
    x = 135,785,213,725.52/417,157.39
  6. Step 6: Final answer
    x = 325,501.16

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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.