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Finding the Fourth Proportional to 294,582.40, 442,046.40 and 107,612.80

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Solution

The fourth proportional to 294,582.40, 442,046.40 and 107,612.80 is: 161,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,582.40 : 442,046.40 = 107,612.80 : x
  2. Step 2: Convert to fraction form
    294,582.40/442,046.40 = 107,612.80/x
  3. Step 3: Cross multiply
    294,582.40x = 442,046.40 × 107,612.80
  4. Step 4: Simplify right side
    294,582.40x = 47,569,850,833.92
  5. Step 5: Solve for x
    x = 47,569,850,833.92/294,582.40
  6. Step 6: Final answer
    x = 161,482.32

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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.