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Finding the Fourth Proportional to 284,811.84, 427,474.56 and 151,802.88

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Solution

The fourth proportional to 284,811.84, 427,474.56 and 151,802.88 is: 227,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,811.84 : 427,474.56 = 151,802.88 : x
  2. Step 2: Convert to fraction form
    284,811.84/427,474.56 = 151,802.88/x
  3. Step 3: Cross multiply
    284,811.84x = 427,474.56 × 151,802.88
  4. Step 4: Simplify right side
    284,811.84x = 64,891,869,334.73
  5. Step 5: Solve for x
    x = 64,891,869,334.73/284,811.84
  6. Step 6: Final answer
    x = 227,841.19

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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.