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Finding the Fourth Proportional to 464,820.40, 697,295.40 and 198,578.80

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Solution

The fourth proportional to 464,820.40, 697,295.40 and 198,578.80 is: 297,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,820.40 : 697,295.40 = 198,578.80 : x
  2. Step 2: Convert to fraction form
    464,820.40/697,295.40 = 198,578.80/x
  3. Step 3: Cross multiply
    464,820.40x = 697,295.40 × 198,578.80
  4. Step 4: Simplify right side
    464,820.40x = 138,468,083,777.52
  5. Step 5: Solve for x
    x = 138,468,083,777.52/464,820.40
  6. Step 6: Final answer
    x = 297,895.88

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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.