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Finding the Fourth Proportional to 277,424.32, 415,803.84 and 159,177.28

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Solution

The fourth proportional to 277,424.32, 415,803.84 and 159,177.28 is: 238,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,424.32 : 415,803.84 = 159,177.28 : x
  2. Step 2: Convert to fraction form
    277,424.32/415,803.84 = 159,177.28/x
  3. Step 3: Cross multiply
    277,424.32x = 415,803.84 × 159,177.28
  4. Step 4: Simplify right side
    277,424.32x = 66,186,524,264.76
  5. Step 5: Solve for x
    x = 66,186,524,264.76/277,424.32
  6. Step 6: Final answer
    x = 238,575.06

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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.