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Finding the Fourth Proportional to 462,767.40, 694,151.10 and 252,815.40

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Solution

The fourth proportional to 462,767.40, 694,151.10 and 252,815.40 is: 379,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,767.40 : 694,151.10 = 252,815.40 : x
  2. Step 2: Convert to fraction form
    462,767.40/694,151.10 = 252,815.40/x
  3. Step 3: Cross multiply
    462,767.40x = 694,151.10 × 252,815.40
  4. Step 4: Simplify right side
    462,767.40x = 175,492,088,006.94
  5. Step 5: Solve for x
    x = 175,492,088,006.94/462,767.40
  6. Step 6: Final answer
    x = 379,223.10

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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.