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Finding the Fourth Proportional to 469,328.83, 647,435.38 and 296,956.33

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Solution

The fourth proportional to 469,328.83, 647,435.38 and 296,956.33 is: 409,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,328.83 : 647,435.38 = 296,956.33 : x
  2. Step 2: Convert to fraction form
    469,328.83/647,435.38 = 296,956.33/x
  3. Step 3: Cross multiply
    469,328.83x = 647,435.38 × 296,956.33
  4. Step 4: Simplify right side
    469,328.83x = 192,260,032,552.77
  5. Step 5: Solve for x
    x = 192,260,032,552.77/469,328.83
  6. Step 6: Final answer
    x = 409,648.88

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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.