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Finding the Fourth Proportional to 343,712.80, 514,532.40 and 302,240.80

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Solution

The fourth proportional to 343,712.80, 514,532.40 and 302,240.80 is: 452,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,712.80 : 514,532.40 = 302,240.80 : x
  2. Step 2: Convert to fraction form
    343,712.80/514,532.40 = 302,240.80/x
  3. Step 3: Cross multiply
    343,712.80x = 514,532.40 × 302,240.80
  4. Step 4: Simplify right side
    343,712.80x = 155,512,684,201.92
  5. Step 5: Solve for x
    x = 155,512,684,201.92/343,712.80
  6. Step 6: Final answer
    x = 452,449.50

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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.