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Finding the Fourth Proportional to 334,859.80, 502,131.30 and 194,661.40

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Solution

The fourth proportional to 334,859.80, 502,131.30 and 194,661.40 is: 291,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,859.80 : 502,131.30 = 194,661.40 : x
  2. Step 2: Convert to fraction form
    334,859.80/502,131.30 = 194,661.40/x
  3. Step 3: Cross multiply
    334,859.80x = 502,131.30 × 194,661.40
  4. Step 4: Simplify right side
    334,859.80x = 97,745,581,841.82
  5. Step 5: Solve for x
    x = 97,745,581,841.82/334,859.80
  6. Step 6: Final answer
    x = 291,900.02

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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.