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Finding the Fourth Proportional to 276,484.85, 414,062.96 and 157,796.36

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Solution

The fourth proportional to 276,484.85, 414,062.96 and 157,796.36 is: 236,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,484.85 : 414,062.96 = 157,796.36 : x
  2. Step 2: Convert to fraction form
    276,484.85/414,062.96 = 157,796.36/x
  3. Step 3: Cross multiply
    276,484.85x = 414,062.96 × 157,796.36
  4. Step 4: Simplify right side
    276,484.85x = 65,337,625,828.51
  5. Step 5: Solve for x
    x = 65,337,625,828.51/276,484.85
  6. Step 6: Final answer
    x = 236,315.40

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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.