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Finding the Fourth Proportional to 334,721.80, 501,924.30 and 194,523.40

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Solution

The fourth proportional to 334,721.80, 501,924.30 and 194,523.40 is: 291,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,721.80 : 501,924.30 = 194,523.40 : x
  2. Step 2: Convert to fraction form
    334,721.80/501,924.30 = 194,523.40/x
  3. Step 3: Cross multiply
    334,721.80x = 501,924.30 × 194,523.40
  4. Step 4: Simplify right side
    334,721.80x = 97,636,021,378.62
  5. Step 5: Solve for x
    x = 97,636,021,378.62/334,721.80
  6. Step 6: Final answer
    x = 291,693.05

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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.