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Finding the Fourth Proportional to 469,095.98, 647,422.03 and 297,029.97

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Solution

The fourth proportional to 469,095.98, 647,422.03 and 297,029.97 is: 409,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,095.98 : 647,422.03 = 297,029.97 : x
  2. Step 2: Convert to fraction form
    469,095.98/647,422.03 = 297,029.97/x
  3. Step 3: Cross multiply
    469,095.98x = 647,422.03 × 297,029.97
  4. Step 4: Simplify right side
    469,095.98x = 192,303,746,519.53
  5. Step 5: Solve for x
    x = 192,303,746,519.53/469,095.98
  6. Step 6: Final answer
    x = 409,945.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.