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Finding the Fourth Proportional to 295,097.20, 441,989.70 and 228,320.80

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Solution

The fourth proportional to 295,097.20, 441,989.70 and 228,320.80 is: 341,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,097.20 : 441,989.70 = 228,320.80 : x
  2. Step 2: Convert to fraction form
    295,097.20/441,989.70 = 228,320.80/x
  3. Step 3: Cross multiply
    295,097.20x = 441,989.70 × 228,320.80
  4. Step 4: Simplify right side
    295,097.20x = 100,915,441,895.76
  5. Step 5: Solve for x
    x = 100,915,441,895.76/295,097.20
  6. Step 6: Final answer
    x = 341,973.57

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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.