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Finding the Fourth Proportional to 343,299.20, 514,948.80 and 284,979.20

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Solution

The fourth proportional to 343,299.20, 514,948.80 and 284,979.20 is: 427,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,299.20 : 514,948.80 = 284,979.20 : x
  2. Step 2: Convert to fraction form
    343,299.20/514,948.80 = 284,979.20/x
  3. Step 3: Cross multiply
    343,299.20x = 514,948.80 × 284,979.20
  4. Step 4: Simplify right side
    343,299.20x = 146,749,697,064.96
  5. Step 5: Solve for x
    x = 146,749,697,064.96/343,299.20
  6. Step 6: Final answer
    x = 427,468.80

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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.