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Finding the Fourth Proportional to 334,784, 502,176.80 and 82,065.62

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Solution

The fourth proportional to 334,784, 502,176.80 and 82,065.62 is: 123,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,784 : 502,176.80 = 82,065.62 : x
  2. Step 2: Convert to fraction form
    334,784/502,176.80 = 82,065.62/x
  3. Step 3: Cross multiply
    334,784x = 502,176.80 × 82,065.62
  4. Step 4: Simplify right side
    334,784x = 41,211,450,441.62
  5. Step 5: Solve for x
    x = 41,211,450,441.62/334,784
  6. Step 6: Final answer
    x = 123,098.63

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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.