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Finding the Fourth Proportional to 462,783.91, 694,262.75 and 210,082.14

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Solution

The fourth proportional to 462,783.91, 694,262.75 and 210,082.14 is: 315,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783.91 : 694,262.75 = 210,082.14 : x
  2. Step 2: Convert to fraction form
    462,783.91/694,262.75 = 210,082.14/x
  3. Step 3: Cross multiply
    462,783.91x = 694,262.75 × 210,082.14
  4. Step 4: Simplify right side
    462,783.91x = 145,852,204,242.29
  5. Step 5: Solve for x
    x = 145,852,204,242.29/462,783.91
  6. Step 6: Final answer
    x = 315,162.65

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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.