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Finding the Fourth Proportional to 343,705.20, 514,974.60 and 284,218.80

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Solution

The fourth proportional to 343,705.20, 514,974.60 and 284,218.80 is: 425,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,705.20 : 514,974.60 = 284,218.80 : x
  2. Step 2: Convert to fraction form
    343,705.20/514,974.60 = 284,218.80/x
  3. Step 3: Cross multiply
    343,705.20x = 514,974.60 × 284,218.80
  4. Step 4: Simplify right side
    343,705.20x = 146,365,462,842.48
  5. Step 5: Solve for x
    x = 146,365,462,842.48/343,705.20
  6. Step 6: Final answer
    x = 425,845.94

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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.