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Finding the Fourth Proportional to 334,984.80, 502,318.80 and 194,786.40

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Solution

The fourth proportional to 334,984.80, 502,318.80 and 194,786.40 is: 292,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,984.80 : 502,318.80 = 194,786.40 : x
  2. Step 2: Convert to fraction form
    334,984.80/502,318.80 = 194,786.40/x
  3. Step 3: Cross multiply
    334,984.80x = 502,318.80 × 194,786.40
  4. Step 4: Simplify right side
    334,984.80x = 97,844,870,704.32
  5. Step 5: Solve for x
    x = 97,844,870,704.32/334,984.80
  6. Step 6: Final answer
    x = 292,087.49

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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.