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Finding the Fourth Proportional to 438,454.42, 605,168.22 and 257,224.58

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Solution

The fourth proportional to 438,454.42, 605,168.22 and 257,224.58 is: 355,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,454.42 : 605,168.22 = 257,224.58 : x
  2. Step 2: Convert to fraction form
    438,454.42/605,168.22 = 257,224.58/x
  3. Step 3: Cross multiply
    438,454.42x = 605,168.22 × 257,224.58
  4. Step 4: Simplify right side
    438,454.42x = 155,664,141,218.85
  5. Step 5: Solve for x
    x = 155,664,141,218.85/438,454.42
  6. Step 6: Final answer
    x = 355,029.24

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1.5x scale

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.