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Finding the Fourth Proportional to 462,981.74, 694,499.73 and 178,673.78

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Solution

The fourth proportional to 462,981.74, 694,499.73 and 178,673.78 is: 268,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,981.74 : 694,499.73 = 178,673.78 : x
  2. Step 2: Convert to fraction form
    462,981.74/694,499.73 = 178,673.78/x
  3. Step 3: Cross multiply
    462,981.74x = 694,499.73 × 178,673.78
  4. Step 4: Simplify right side
    462,981.74x = 124,088,891,968.08
  5. Step 5: Solve for x
    x = 124,088,891,968.08/462,981.74
  6. Step 6: Final answer
    x = 268,021.14

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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.