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Finding the Fourth Proportional to 423,242.84, 584,084.04 and 232,254.56

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Solution

The fourth proportional to 423,242.84, 584,084.04 and 232,254.56 is: 320,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,242.84 : 584,084.04 = 232,254.56 : x
  2. Step 2: Convert to fraction form
    423,242.84/584,084.04 = 232,254.56/x
  3. Step 3: Cross multiply
    423,242.84x = 584,084.04 × 232,254.56
  4. Step 4: Simplify right side
    423,242.84x = 135,656,181,713.22
  5. Step 5: Solve for x
    x = 135,656,181,713.22/423,242.84
  6. Step 6: Final answer
    x = 320,516.19

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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.