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Finding the Fourth Proportional to 347,674.50, 521,731.14 and 147,994.58

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Solution

The fourth proportional to 347,674.50, 521,731.14 and 147,994.58 is: 222,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,674.50 : 521,731.14 = 147,994.58 : x
  2. Step 2: Convert to fraction form
    347,674.50/521,731.14 = 147,994.58/x
  3. Step 3: Cross multiply
    347,674.50x = 521,731.14 × 147,994.58
  4. Step 4: Simplify right side
    347,674.50x = 77,213,380,937.22
  5. Step 5: Solve for x
    x = 77,213,380,937.22/347,674.50
  6. Step 6: Final answer
    x = 222,085.26

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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.