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Finding the Fourth Proportional to 306,787.80, 459,316.56 and 162,366.48

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Solution

The fourth proportional to 306,787.80, 459,316.56 and 162,366.48 is: 243,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,787.80 : 459,316.56 = 162,366.48 : x
  2. Step 2: Convert to fraction form
    306,787.80/459,316.56 = 162,366.48/x
  3. Step 3: Cross multiply
    306,787.80x = 459,316.56 × 162,366.48
  4. Step 4: Simplify right side
    306,787.80x = 74,577,613,052.91
  5. Step 5: Solve for x
    x = 74,577,613,052.91/306,787.80
  6. Step 6: Final answer
    x = 243,091.85

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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.