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Finding the Fourth Proportional to 335,314.20, 502,971.30 and 313,006.80

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Solution

The fourth proportional to 335,314.20, 502,971.30 and 313,006.80 is: 469,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,314.20 : 502,971.30 = 313,006.80 : x
  2. Step 2: Convert to fraction form
    335,314.20/502,971.30 = 313,006.80/x
  3. Step 3: Cross multiply
    335,314.20x = 502,971.30 × 313,006.80
  4. Step 4: Simplify right side
    335,314.20x = 157,433,437,104.84
  5. Step 5: Solve for x
    x = 157,433,437,104.84/335,314.20
  6. Step 6: Final answer
    x = 469,510.20

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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.