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Finding the Fourth Proportional to 276,006.30, 413,717.85 and 157,422.30

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Solution

The fourth proportional to 276,006.30, 413,717.85 and 157,422.30 is: 235,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,006.30 : 413,717.85 = 157,422.30 : x
  2. Step 2: Convert to fraction form
    276,006.30/413,717.85 = 157,422.30/x
  3. Step 3: Cross multiply
    276,006.30x = 413,717.85 × 157,422.30
  4. Step 4: Simplify right side
    276,006.30x = 65,128,415,498.06
  5. Step 5: Solve for x
    x = 65,128,415,498.06/276,006.30
  6. Step 6: Final answer
    x = 235,967.13

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1.5x scale

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.