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Finding the Fourth Proportional to 564,251.30, 846,374.08 and 199,783.29

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Solution

The fourth proportional to 564,251.30, 846,374.08 and 199,783.29 is: 299,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,251.30 : 846,374.08 = 199,783.29 : x
  2. Step 2: Convert to fraction form
    564,251.30/846,374.08 = 199,783.29/x
  3. Step 3: Cross multiply
    564,251.30x = 846,374.08 × 199,783.29
  4. Step 4: Simplify right side
    564,251.30x = 169,091,398,273.12
  5. Step 5: Solve for x
    x = 169,091,398,273.12/564,251.30
  6. Step 6: Final answer
    x = 299,673.92

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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.