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Finding the Fourth Proportional to 423,285.66, 584,115.84 and 232,302.24

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Solution

The fourth proportional to 423,285.66, 584,115.84 and 232,302.24 is: 320,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,285.66 : 584,115.84 = 232,302.24 : x
  2. Step 2: Convert to fraction form
    423,285.66/584,115.84 = 232,302.24/x
  3. Step 3: Cross multiply
    423,285.66x = 584,115.84 × 232,302.24
  4. Step 4: Simplify right side
    423,285.66x = 135,691,418,051.48
  5. Step 5: Solve for x
    x = 135,691,418,051.48/423,285.66
  6. Step 6: Final answer
    x = 320,567.01

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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.