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Finding the Fourth Proportional to 284,597.46, 392,759.62 and 163,757.10

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Solution

The fourth proportional to 284,597.46, 392,759.62 and 163,757.10 is: 225,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,597.46 : 392,759.62 = 163,757.10 : x
  2. Step 2: Convert to fraction form
    284,597.46/392,759.62 = 163,757.10/x
  3. Step 3: Cross multiply
    284,597.46x = 392,759.62 × 163,757.10
  4. Step 4: Simplify right side
    284,597.46x = 64,317,176,368.30
  5. Step 5: Solve for x
    x = 64,317,176,368.30/284,597.46
  6. Step 6: Final answer
    x = 225,993.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.