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Finding the Fourth Proportional to 295,046.43, 442,558.13 and 84,684.30

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Solution

The fourth proportional to 295,046.43, 442,558.13 and 84,684.30 is: 127,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,046.43 : 442,558.13 = 84,684.30 : x
  2. Step 2: Convert to fraction form
    295,046.43/442,558.13 = 84,684.30/x
  3. Step 3: Cross multiply
    295,046.43x = 442,558.13 × 84,684.30
  4. Step 4: Simplify right side
    295,046.43x = 37,477,725,024.94
  5. Step 5: Solve for x
    x = 37,477,725,024.94/295,046.43
  6. Step 6: Final answer
    x = 127,023.14

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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.