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Finding the Fourth Proportional to 343,268.40, 514,902.60 and 296,029.20

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Solution

The fourth proportional to 343,268.40, 514,902.60 and 296,029.20 is: 444,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,268.40 : 514,902.60 = 296,029.20 : x
  2. Step 2: Convert to fraction form
    343,268.40/514,902.60 = 296,029.20/x
  3. Step 3: Cross multiply
    343,268.40x = 514,902.60 × 296,029.20
  4. Step 4: Simplify right side
    343,268.40x = 152,426,204,755.92
  5. Step 5: Solve for x
    x = 152,426,204,755.92/343,268.40
  6. Step 6: Final answer
    x = 444,043.80

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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.