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Finding the Fourth Proportional to 564,079.97, 846,036.89 and 185,040.75

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Solution

The fourth proportional to 564,079.97, 846,036.89 and 185,040.75 is: 277,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,079.97 : 846,036.89 = 185,040.75 : x
  2. Step 2: Convert to fraction form
    564,079.97/846,036.89 = 185,040.75/x
  3. Step 3: Cross multiply
    564,079.97x = 846,036.89 × 185,040.75
  4. Step 4: Simplify right side
    564,079.97x = 156,551,299,728.06
  5. Step 5: Solve for x
    x = 156,551,299,728.06/564,079.97
  6. Step 6: Final answer
    x = 277,533.87

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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.