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Finding the Fourth Proportional to 469,238.55, 647,552.52 and 254,382

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Solution

The fourth proportional to 469,238.55, 647,552.52 and 254,382 is: 351,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,238.55 : 647,552.52 = 254,382 : x
  2. Step 2: Convert to fraction form
    469,238.55/647,552.52 = 254,382/x
  3. Step 3: Cross multiply
    469,238.55x = 647,552.52 × 254,382
  4. Step 4: Simplify right side
    469,238.55x = 164,725,705,142.64
  5. Step 5: Solve for x
    x = 164,725,705,142.64/469,238.55
  6. Step 6: Final answer
    x = 351,048.96

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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.