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Finding the Fourth Proportional to 276,737.40, 414,522.90 and 230,081.40

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Solution

The fourth proportional to 276,737.40, 414,522.90 and 230,081.40 is: 344,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,737.40 : 414,522.90 = 230,081.40 : x
  2. Step 2: Convert to fraction form
    276,737.40/414,522.90 = 230,081.40/x
  3. Step 3: Cross multiply
    276,737.40x = 414,522.90 × 230,081.40
  4. Step 4: Simplify right side
    276,737.40x = 95,374,009,164.06
  5. Step 5: Solve for x
    x = 95,374,009,164.06/276,737.40
  6. Step 6: Final answer
    x = 344,637.22

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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.