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Finding the Fourth Proportional to 362,872.64, 544,349.92 and 152,471.36

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Solution

The fourth proportional to 362,872.64, 544,349.92 and 152,471.36 is: 228,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,872.64 : 544,349.92 = 152,471.36 : x
  2. Step 2: Convert to fraction form
    362,872.64/544,349.92 = 152,471.36/x
  3. Step 3: Cross multiply
    362,872.64x = 544,349.92 × 152,471.36
  4. Step 4: Simplify right side
    362,872.64x = 82,997,772,618.29
  5. Step 5: Solve for x
    x = 82,997,772,618.29/362,872.64
  6. Step 6: Final answer
    x = 228,724.25

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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.