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Finding the Fourth Proportional to 343,108.80, 514,663.20 and 319,780.80

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Solution

The fourth proportional to 343,108.80, 514,663.20 and 319,780.80 is: 479,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,108.80 : 514,663.20 = 319,780.80 : x
  2. Step 2: Convert to fraction form
    343,108.80/514,663.20 = 319,780.80/x
  3. Step 3: Cross multiply
    343,108.80x = 514,663.20 × 319,780.80
  4. Step 4: Simplify right side
    343,108.80x = 164,579,409,826.56
  5. Step 5: Solve for x
    x = 164,579,409,826.56/343,108.80
  6. Step 6: Final answer
    x = 479,671.20

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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.