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Finding the Fourth Proportional to 423,834.48, 584,902.26 and 232,865.64

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Solution

The fourth proportional to 423,834.48, 584,902.26 and 232,865.64 is: 321,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,834.48 : 584,902.26 = 232,865.64 : x
  2. Step 2: Convert to fraction form
    423,834.48/584,902.26 = 232,865.64/x
  3. Step 3: Cross multiply
    423,834.48x = 584,902.26 × 232,865.64
  4. Step 4: Simplify right side
    423,834.48x = 136,203,639,112.35
  5. Step 5: Solve for x
    x = 136,203,639,112.35/423,834.48
  6. Step 6: Final answer
    x = 321,360.45

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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.