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Finding the Fourth Proportional to 296,907.80, 444,972.90 and 119,269.40

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Solution

The fourth proportional to 296,907.80, 444,972.90 and 119,269.40 is: 178,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,907.80 : 444,972.90 = 119,269.40 : x
  2. Step 2: Convert to fraction form
    296,907.80/444,972.90 = 119,269.40/x
  3. Step 3: Cross multiply
    296,907.80x = 444,972.90 × 119,269.40
  4. Step 4: Simplify right side
    296,907.80x = 53,071,650,799.26
  5. Step 5: Solve for x
    x = 53,071,650,799.26/296,907.80
  6. Step 6: Final answer
    x = 178,747.92

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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.