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Finding the Fourth Proportional to 295,021.60, 442,532.40 and 200,543.20

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Solution

The fourth proportional to 295,021.60, 442,532.40 and 200,543.20 is: 300,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,021.60 : 442,532.40 = 200,543.20 : x
  2. Step 2: Convert to fraction form
    295,021.60/442,532.40 = 200,543.20/x
  3. Step 3: Cross multiply
    295,021.60x = 442,532.40 × 200,543.20
  4. Step 4: Simplify right side
    295,021.60x = 88,746,863,599.68
  5. Step 5: Solve for x
    x = 88,746,863,599.68/295,021.60
  6. Step 6: Final answer
    x = 300,814.80

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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.