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Finding the Fourth Proportional to 427,710.98, 590,201.16 and 255,594.78

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Solution

The fourth proportional to 427,710.98, 590,201.16 and 255,594.78 is: 352,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,710.98 : 590,201.16 = 255,594.78 : x
  2. Step 2: Convert to fraction form
    427,710.98/590,201.16 = 255,594.78/x
  3. Step 3: Cross multiply
    427,710.98x = 590,201.16 × 255,594.78
  4. Step 4: Simplify right side
    427,710.98x = 150,852,335,645.95
  5. Step 5: Solve for x
    x = 150,852,335,645.95/427,710.98
  6. Step 6: Final answer
    x = 352,696.90

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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.