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Finding the Fourth Proportional to 469,068.29, 647,383.71 and 297,002.24

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Solution

The fourth proportional to 469,068.29, 647,383.71 and 297,002.24 is: 409,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,068.29 : 647,383.71 = 297,002.24 : x
  2. Step 2: Convert to fraction form
    469,068.29/647,383.71 = 297,002.24/x
  3. Step 3: Cross multiply
    469,068.29x = 647,383.71 × 297,002.24
  4. Step 4: Simplify right side
    469,068.29x = 192,274,413,627.97
  5. Step 5: Solve for x
    x = 192,274,413,627.97/469,068.29
  6. Step 6: Final answer
    x = 409,907.09

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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.