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Finding the Fourth Proportional to 465,461.39, 697,541.15 and 251,767.80

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Solution

The fourth proportional to 465,461.39, 697,541.15 and 251,767.80 is: 377,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,461.39 : 697,541.15 = 251,767.80 : x
  2. Step 2: Convert to fraction form
    465,461.39/697,541.15 = 251,767.80/x
  3. Step 3: Cross multiply
    465,461.39x = 697,541.15 × 251,767.80
  4. Step 4: Simplify right side
    465,461.39x = 175,618,401,374.39
  5. Step 5: Solve for x
    x = 175,618,401,374.39/465,461.39
  6. Step 6: Final answer
    x = 377,299.61

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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.