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Finding the Fourth Proportional to 334,073.80, 501,110.70 and 314,390.80

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Solution

The fourth proportional to 334,073.80, 501,110.70 and 314,390.80 is: 471,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,073.80 : 501,110.70 = 314,390.80 : x
  2. Step 2: Convert to fraction form
    334,073.80/501,110.70 = 314,390.80/x
  3. Step 3: Cross multiply
    334,073.80x = 501,110.70 × 314,390.80
  4. Step 4: Simplify right side
    334,073.80x = 157,544,593,861.56
  5. Step 5: Solve for x
    x = 157,544,593,861.56/334,073.80
  6. Step 6: Final answer
    x = 471,586.20

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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.