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Finding the Fourth Proportional to 423,203.52, 584,019.24 and 232,220.10

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Solution

The fourth proportional to 423,203.52, 584,019.24 and 232,220.10 is: 320,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,203.52 : 584,019.24 = 232,220.10 : x
  2. Step 2: Convert to fraction form
    423,203.52/584,019.24 = 232,220.10/x
  3. Step 3: Cross multiply
    423,203.52x = 584,019.24 × 232,220.10
  4. Step 4: Simplify right side
    423,203.52x = 135,621,006,314.72
  5. Step 5: Solve for x
    x = 135,621,006,314.72/423,203.52
  6. Step 6: Final answer
    x = 320,462.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.