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Finding the Fourth Proportional to 276,594.16, 414,719.41 and 116,587.78

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Solution

The fourth proportional to 276,594.16, 414,719.41 and 116,587.78 is: 174,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,594.16 : 414,719.41 = 116,587.78 : x
  2. Step 2: Convert to fraction form
    276,594.16/414,719.41 = 116,587.78/x
  3. Step 3: Cross multiply
    276,594.16x = 414,719.41 × 116,587.78
  4. Step 4: Simplify right side
    276,594.16x = 48,351,215,334.81
  5. Step 5: Solve for x
    x = 48,351,215,334.81/276,594.16
  6. Step 6: Final answer
    x = 174,809.24

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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.