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Finding the Fourth Proportional to 233,580.40, 349,787.40 and 154,265.20

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Solution

The fourth proportional to 233,580.40, 349,787.40 and 154,265.20 is: 231,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,580.40 : 349,787.40 = 154,265.20 : x
  2. Step 2: Convert to fraction form
    233,580.40/349,787.40 = 154,265.20/x
  3. Step 3: Cross multiply
    233,580.40x = 349,787.40 × 154,265.20
  4. Step 4: Simplify right side
    233,580.40x = 53,960,023,218.48
  5. Step 5: Solve for x
    x = 53,960,023,218.48/233,580.40
  6. Step 6: Final answer
    x = 231,012.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.