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Finding the Fourth Proportional to 423,381.74, 584,254.82 and 232,394.94

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Solution

The fourth proportional to 423,381.74, 584,254.82 and 232,394.94 is: 320,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,381.74 : 584,254.82 = 232,394.94 : x
  2. Step 2: Convert to fraction form
    423,381.74/584,254.82 = 232,394.94/x
  3. Step 3: Cross multiply
    423,381.74x = 584,254.82 × 232,394.94
  4. Step 4: Simplify right side
    423,381.74x = 135,777,864,419.60
  5. Step 5: Solve for x
    x = 135,777,864,419.60/423,381.74
  6. Step 6: Final answer
    x = 320,698.45

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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.