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Finding the Fourth Proportional to 294,829.97, 442,321.50 and 84,484.31

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Solution

The fourth proportional to 294,829.97, 442,321.50 and 84,484.31 is: 126,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,829.97 : 442,321.50 = 84,484.31 : x
  2. Step 2: Convert to fraction form
    294,829.97/442,321.50 = 84,484.31/x
  3. Step 3: Cross multiply
    294,829.97x = 442,321.50 × 84,484.31
  4. Step 4: Simplify right side
    294,829.97x = 37,369,226,725.67
  5. Step 5: Solve for x
    x = 37,369,226,725.67/294,829.97
  6. Step 6: Final answer
    x = 126,748.40

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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.