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Finding the Fourth Proportional to 295,323.20, 442,984.80 and 202,011.20

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Solution

The fourth proportional to 295,323.20, 442,984.80 and 202,011.20 is: 303,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,323.20 : 442,984.80 = 202,011.20 : x
  2. Step 2: Convert to fraction form
    295,323.20/442,984.80 = 202,011.20/x
  3. Step 3: Cross multiply
    295,323.20x = 442,984.80 × 202,011.20
  4. Step 4: Simplify right side
    295,323.20x = 89,487,891,029.76
  5. Step 5: Solve for x
    x = 89,487,891,029.76/295,323.20
  6. Step 6: Final answer
    x = 303,016.80

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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.