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Finding the Fourth Proportional to 284,574.62, 426,878.63 and 107,083.17

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Solution

The fourth proportional to 284,574.62, 426,878.63 and 107,083.17 is: 160,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,574.62 : 426,878.63 = 107,083.17 : x
  2. Step 2: Convert to fraction form
    284,574.62/426,878.63 = 107,083.17/x
  3. Step 3: Cross multiply
    284,574.62x = 426,878.63 × 107,083.17
  4. Step 4: Simplify right side
    284,574.62x = 45,711,516,905.66
  5. Step 5: Solve for x
    x = 45,711,516,905.66/284,574.62
  6. Step 6: Final answer
    x = 160,631.04

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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.