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Finding the Fourth Proportional to 564,187.52, 846,284.16 and 190,213.76

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Solution

The fourth proportional to 564,187.52, 846,284.16 and 190,213.76 is: 285,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,187.52 : 846,284.16 = 190,213.76 : x
  2. Step 2: Convert to fraction form
    564,187.52/846,284.16 = 190,213.76/x
  3. Step 3: Cross multiply
    564,187.52x = 846,284.16 × 190,213.76
  4. Step 4: Simplify right side
    564,187.52x = 160,974,892,102.04
  5. Step 5: Solve for x
    x = 160,974,892,102.04/564,187.52
  6. Step 6: Final answer
    x = 285,321.61

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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.