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Finding the Fourth Proportional to 464,716.17, 697,147.16 and 198,478.17

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Solution

The fourth proportional to 464,716.17, 697,147.16 and 198,478.17 is: 297,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,716.17 : 697,147.16 = 198,478.17 : x
  2. Step 2: Convert to fraction form
    464,716.17/697,147.16 = 198,478.17/x
  3. Step 3: Cross multiply
    464,716.17x = 697,147.16 × 198,478.17
  4. Step 4: Simplify right side
    464,716.17x = 138,368,491,545.11
  5. Step 5: Solve for x
    x = 138,368,491,545.11/464,716.17
  6. Step 6: Final answer
    x = 297,748.39

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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.