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Finding the Fourth Proportional to 286,348.80, 428,648.40 and 223,363.20

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Solution

The fourth proportional to 286,348.80, 428,648.40 and 223,363.20 is: 334,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,348.80 : 428,648.40 = 223,363.20 : x
  2. Step 2: Convert to fraction form
    286,348.80/428,648.40 = 223,363.20/x
  3. Step 3: Cross multiply
    286,348.80x = 428,648.40 × 223,363.20
  4. Step 4: Simplify right side
    286,348.80x = 95,744,278,298.88
  5. Step 5: Solve for x
    x = 95,744,278,298.88/286,348.80
  6. Step 6: Final answer
    x = 334,362.42

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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.