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Finding the Fourth Proportional to 294,376.80, 441,432.36 and 83,964.72

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Solution

The fourth proportional to 294,376.80, 441,432.36 and 83,964.72 is: 125,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,376.80 : 441,432.36 = 83,964.72 : x
  2. Step 2: Convert to fraction form
    294,376.80/441,432.36 = 83,964.72/x
  3. Step 3: Cross multiply
    294,376.80x = 441,432.36 × 83,964.72
  4. Step 4: Simplify right side
    294,376.80x = 37,064,744,506.34
  5. Step 5: Solve for x
    x = 37,064,744,506.34/294,376.80
  6. Step 6: Final answer
    x = 125,909.19

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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.