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Finding the Fourth Proportional to 284,493.32, 427,007.82 and 144,352.52

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Solution

The fourth proportional to 284,493.32, 427,007.82 and 144,352.52 is: 216,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,493.32 : 427,007.82 = 144,352.52 : x
  2. Step 2: Convert to fraction form
    284,493.32/427,007.82 = 144,352.52/x
  3. Step 3: Cross multiply
    284,493.32x = 427,007.82 × 144,352.52
  4. Step 4: Simplify right side
    284,493.32x = 61,639,654,876.71
  5. Step 5: Solve for x
    x = 61,639,654,876.71/284,493.32
  6. Step 6: Final answer
    x = 216,664.68

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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.