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Finding the Fourth Proportional to 423,256.62, 584,101.26 and 232,287.78

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Solution

The fourth proportional to 423,256.62, 584,101.26 and 232,287.78 is: 320,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,256.62 : 584,101.26 = 232,287.78 : x
  2. Step 2: Convert to fraction form
    423,256.62/584,101.26 = 232,287.78/x
  3. Step 3: Cross multiply
    423,256.62x = 584,101.26 × 232,287.78
  4. Step 4: Simplify right side
    423,256.62x = 135,679,584,980.60
  5. Step 5: Solve for x
    x = 135,679,584,980.60/423,256.62
  6. Step 6: Final answer
    x = 320,561.05

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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.