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Finding the Fourth Proportional to 343,219.80, 514,829.70 and 319,891.80

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Solution

The fourth proportional to 343,219.80, 514,829.70 and 319,891.80 is: 479,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,219.80 : 514,829.70 = 319,891.80 : x
  2. Step 2: Convert to fraction form
    343,219.80/514,829.70 = 319,891.80/x
  3. Step 3: Cross multiply
    343,219.80x = 514,829.70 × 319,891.80
  4. Step 4: Simplify right side
    343,219.80x = 164,689,799,426.46
  5. Step 5: Solve for x
    x = 164,689,799,426.46/343,219.80
  6. Step 6: Final answer
    x = 479,837.70

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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.