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Finding the Fourth Proportional to 295,803.92, 443,705.88 and 270,143.12

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Solution

The fourth proportional to 295,803.92, 443,705.88 and 270,143.12 is: 405,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,803.92 : 443,705.88 = 270,143.12 : x
  2. Step 2: Convert to fraction form
    295,803.92/443,705.88 = 270,143.12/x
  3. Step 3: Cross multiply
    295,803.92x = 443,705.88 × 270,143.12
  4. Step 4: Simplify right side
    295,803.92x = 119,864,088,567.02
  5. Step 5: Solve for x
    x = 119,864,088,567.02/295,803.92
  6. Step 6: Final answer
    x = 405,214.68

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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.