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Finding the Fourth Proportional to 314,593.58, 471,011.13 and 169,981.40

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Solution

The fourth proportional to 314,593.58, 471,011.13 and 169,981.40 is: 254,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,593.58 : 471,011.13 = 169,981.40 : x
  2. Step 2: Convert to fraction form
    314,593.58/471,011.13 = 169,981.40/x
  3. Step 3: Cross multiply
    314,593.58x = 471,011.13 × 169,981.40
  4. Step 4: Simplify right side
    314,593.58x = 80,063,131,292.98
  5. Step 5: Solve for x
    x = 80,063,131,292.98/314,593.58
  6. Step 6: Final answer
    x = 254,497.03

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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.