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Finding the Fourth Proportional to 276,034.60, 414,294.90 and 163,574.20

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Solution

The fourth proportional to 276,034.60, 414,294.90 and 163,574.20 is: 245,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,034.60 : 414,294.90 = 163,574.20 : x
  2. Step 2: Convert to fraction form
    276,034.60/414,294.90 = 163,574.20/x
  3. Step 3: Cross multiply
    276,034.60x = 414,294.90 × 163,574.20
  4. Step 4: Simplify right side
    276,034.60x = 67,767,956,831.58
  5. Step 5: Solve for x
    x = 67,767,956,831.58/276,034.60
  6. Step 6: Final answer
    x = 245,505.30

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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.