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Finding the Fourth Proportional to 277,454.32, 415,848.76 and 159,207.28

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Solution

The fourth proportional to 277,454.32, 415,848.76 and 159,207.28 is: 238,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,454.32 : 415,848.76 = 159,207.28 : x
  2. Step 2: Convert to fraction form
    277,454.32/415,848.76 = 159,207.28/x
  3. Step 3: Cross multiply
    277,454.32x = 415,848.76 × 159,207.28
  4. Step 4: Simplify right side
    277,454.32x = 66,206,149,970.97
  5. Step 5: Solve for x
    x = 66,206,149,970.97/277,454.32
  6. Step 6: Final answer
    x = 238,620.00

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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.