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Finding the Fourth Proportional to 423,652.68, 584,643.42 and 232,664.40

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Solution

The fourth proportional to 423,652.68, 584,643.42 and 232,664.40 is: 321,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,652.68 : 584,643.42 = 232,664.40 : x
  2. Step 2: Convert to fraction form
    423,652.68/584,643.42 = 232,664.40/x
  3. Step 3: Cross multiply
    423,652.68x = 584,643.42 × 232,664.40
  4. Step 4: Simplify right side
    423,652.68x = 136,025,710,528.25
  5. Step 5: Solve for x
    x = 136,025,710,528.25/423,652.68
  6. Step 6: Final answer
    x = 321,078.37

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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.