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Finding the Fourth Proportional to 384,082.08, 530,282.97 and 343,726.50

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Solution

The fourth proportional to 384,082.08, 530,282.97 and 343,726.50 is: 474,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,082.08 : 530,282.97 = 343,726.50 : x
  2. Step 2: Convert to fraction form
    384,082.08/530,282.97 = 343,726.50/x
  3. Step 3: Cross multiply
    384,082.08x = 530,282.97 × 343,726.50
  4. Step 4: Simplify right side
    384,082.08x = 182,272,309,287.71
  5. Step 5: Solve for x
    x = 182,272,309,287.71/384,082.08
  6. Step 6: Final answer
    x = 474,566.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.