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Finding the Fourth Proportional to 286,796.43, 430,252.11 and 160,616.16

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Solution

The fourth proportional to 286,796.43, 430,252.11 and 160,616.16 is: 240,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,796.43 : 430,252.11 = 160,616.16 : x
  2. Step 2: Convert to fraction form
    286,796.43/430,252.11 = 160,616.16/x
  3. Step 3: Cross multiply
    286,796.43x = 430,252.11 × 160,616.16
  4. Step 4: Simplify right side
    286,796.43x = 69,105,441,740.10
  5. Step 5: Solve for x
    x = 69,105,441,740.10/286,796.43
  6. Step 6: Final answer
    x = 240,956.42

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1.5x scale

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.