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Finding the Fourth Proportional to 328,970.80, 493,456.20 and 210,872.80

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Solution

The fourth proportional to 328,970.80, 493,456.20 and 210,872.80 is: 316,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,970.80 : 493,456.20 = 210,872.80 : x
  2. Step 2: Convert to fraction form
    328,970.80/493,456.20 = 210,872.80/x
  3. Step 3: Cross multiply
    328,970.80x = 493,456.20 × 210,872.80
  4. Step 4: Simplify right side
    328,970.80x = 104,056,490,571.36
  5. Step 5: Solve for x
    x = 104,056,490,571.36/328,970.80
  6. Step 6: Final answer
    x = 316,309.20

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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.