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Finding the Fourth Proportional to 276,744.40, 414,533.40 and 230,088.40

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Solution

The fourth proportional to 276,744.40, 414,533.40 and 230,088.40 is: 344,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,744.40 : 414,533.40 = 230,088.40 : x
  2. Step 2: Convert to fraction form
    276,744.40/414,533.40 = 230,088.40/x
  3. Step 3: Cross multiply
    276,744.40x = 414,533.40 × 230,088.40
  4. Step 4: Simplify right side
    276,744.40x = 95,379,326,752.56
  5. Step 5: Solve for x
    x = 95,379,326,752.56/276,744.40
  6. Step 6: Final answer
    x = 344,647.72

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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.