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Finding the Fourth Proportional to 294,586.40, 442,052.40 and 107,616.80

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Solution

The fourth proportional to 294,586.40, 442,052.40 and 107,616.80 is: 161,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,586.40 : 442,052.40 = 107,616.80 : x
  2. Step 2: Convert to fraction form
    294,586.40/442,052.40 = 107,616.80/x
  3. Step 3: Cross multiply
    294,586.40x = 442,052.40 × 107,616.80
  4. Step 4: Simplify right side
    294,586.40x = 47,572,264,720.32
  5. Step 5: Solve for x
    x = 47,572,264,720.32/294,586.40
  6. Step 6: Final answer
    x = 161,488.33

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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.