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Finding the Fourth Proportional to 423,643.78, 584,638.56 and 232,661.26

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Solution

The fourth proportional to 423,643.78, 584,638.56 and 232,661.26 is: 321,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,643.78 : 584,638.56 = 232,661.26 : x
  2. Step 2: Convert to fraction form
    423,643.78/584,638.56 = 232,661.26/x
  3. Step 3: Cross multiply
    423,643.78x = 584,638.56 × 232,661.26
  4. Step 4: Simplify right side
    423,643.78x = 136,022,744,014.19
  5. Step 5: Solve for x
    x = 136,022,744,014.19/423,643.78
  6. Step 6: Final answer
    x = 321,078.11

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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.