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Finding the Fourth Proportional to 466,185.27, 698,824.29 and 297,178.23

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Solution

The fourth proportional to 466,185.27, 698,824.29 and 297,178.23 is: 445,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,185.27 : 698,824.29 = 297,178.23 : x
  2. Step 2: Convert to fraction form
    466,185.27/698,824.29 = 297,178.23/x
  3. Step 3: Cross multiply
    466,185.27x = 698,824.29 × 297,178.23
  4. Step 4: Simplify right side
    466,185.27x = 207,675,365,583.21
  5. Step 5: Solve for x
    x = 207,675,365,583.21/466,185.27
  6. Step 6: Final answer
    x = 445,478.18

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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.