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Finding the Fourth Proportional to 334,841.80, 502,104.30 and 194,643.40

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Solution

The fourth proportional to 334,841.80, 502,104.30 and 194,643.40 is: 291,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,841.80 : 502,104.30 = 194,643.40 : x
  2. Step 2: Convert to fraction form
    334,841.80/502,104.30 = 194,643.40/x
  3. Step 3: Cross multiply
    334,841.80x = 502,104.30 × 194,643.40
  4. Step 4: Simplify right side
    334,841.80x = 97,731,288,106.62
  5. Step 5: Solve for x
    x = 97,731,288,106.62/334,841.80
  6. Step 6: Final answer
    x = 291,873.02

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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.