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Finding the Fourth Proportional to 423,412.02, 584,306.29 and 232,428.66

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Solution

The fourth proportional to 423,412.02, 584,306.29 and 232,428.66 is: 320,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,412.02 : 584,306.29 = 232,428.66 : x
  2. Step 2: Convert to fraction form
    423,412.02/584,306.29 = 232,428.66/x
  3. Step 3: Cross multiply
    423,412.02x = 584,306.29 × 232,428.66
  4. Step 4: Simplify right side
    423,412.02x = 135,809,528,014.27
  5. Step 5: Solve for x
    x = 135,809,528,014.27/423,412.02
  6. Step 6: Final answer
    x = 320,750.29

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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.