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Finding the Fourth Proportional to 284,598.46, 392,761 and 163,758.10

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Solution

The fourth proportional to 284,598.46, 392,761 and 163,758.10 is: 225,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,598.46 : 392,761 = 163,758.10 : x
  2. Step 2: Convert to fraction form
    284,598.46/392,761 = 163,758.10/x
  3. Step 3: Cross multiply
    284,598.46x = 392,761 × 163,758.10
  4. Step 4: Simplify right side
    284,598.46x = 64,317,795,114.10
  5. Step 5: Solve for x
    x = 64,317,795,114.10/284,598.46
  6. Step 6: Final answer
    x = 225,994.88

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