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Finding the Fourth Proportional to 276,487.10, 414,066.34 and 157,798.61

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Solution

The fourth proportional to 276,487.10, 414,066.34 and 157,798.61 is: 236,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,487.10 : 414,066.34 = 157,798.61 : x
  2. Step 2: Convert to fraction form
    276,487.10/414,066.34 = 157,798.61/x
  3. Step 3: Cross multiply
    276,487.10x = 414,066.34 × 157,798.61
  4. Step 4: Simplify right side
    276,487.10x = 65,339,090,040.46
  5. Step 5: Solve for x
    x = 65,339,090,040.46/276,487.10
  6. Step 6: Final answer
    x = 236,318.77

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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.