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Finding the Fourth Proportional to 295,321.20, 442,981.80 and 242,833.20

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Solution

The fourth proportional to 295,321.20, 442,981.80 and 242,833.20 is: 364,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,321.20 : 442,981.80 = 242,833.20 : x
  2. Step 2: Convert to fraction form
    295,321.20/442,981.80 = 242,833.20/x
  3. Step 3: Cross multiply
    295,321.20x = 442,981.80 × 242,833.20
  4. Step 4: Simplify right side
    295,321.20x = 107,570,688,035.76
  5. Step 5: Solve for x
    x = 107,570,688,035.76/295,321.20
  6. Step 6: Final answer
    x = 364,249.80

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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.