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Finding the Fourth Proportional to 276,397.64, 414,632.94 and 96,486.31

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Solution

The fourth proportional to 276,397.64, 414,632.94 and 96,486.31 is: 144,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,397.64 : 414,632.94 = 96,486.31 : x
  2. Step 2: Convert to fraction form
    276,397.64/414,632.94 = 96,486.31/x
  3. Step 3: Cross multiply
    276,397.64x = 414,632.94 × 96,486.31
  4. Step 4: Simplify right side
    276,397.64x = 40,006,402,385.05
  5. Step 5: Solve for x
    x = 40,006,402,385.05/276,397.64
  6. Step 6: Final answer
    x = 144,742.20

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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.