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Finding the Fourth Proportional to 464,877.30, 697,314.82 and 262,381.61

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Solution

The fourth proportional to 464,877.30, 697,314.82 and 262,381.61 is: 393,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,877.30 : 697,314.82 = 262,381.61 : x
  2. Step 2: Convert to fraction form
    464,877.30/697,314.82 = 262,381.61/x
  3. Step 3: Cross multiply
    464,877.30x = 697,314.82 × 262,381.61
  4. Step 4: Simplify right side
    464,877.30x = 182,962,585,148.46
  5. Step 5: Solve for x
    x = 182,962,585,148.46/464,877.30
  6. Step 6: Final answer
    x = 393,571.78

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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.