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Finding the Fourth Proportional to 402,456.20, 603,684.30 and 302,072.90

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Solution

The fourth proportional to 402,456.20, 603,684.30 and 302,072.90 is: 453,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,456.20 : 603,684.30 = 302,072.90 : x
  2. Step 2: Convert to fraction form
    402,456.20/603,684.30 = 302,072.90/x
  3. Step 3: Cross multiply
    402,456.20x = 603,684.30 × 302,072.90
  4. Step 4: Simplify right side
    402,456.20x = 182,356,667,185.47
  5. Step 5: Solve for x
    x = 182,356,667,185.47/402,456.20
  6. Step 6: Final answer
    x = 453,109.35

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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.