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Finding the Fourth Proportional to 257,002.89, 354,775.20 and 193,356.33

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Solution

The fourth proportional to 257,002.89, 354,775.20 and 193,356.33 is: 266,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,002.89 : 354,775.20 = 193,356.33 : x
  2. Step 2: Convert to fraction form
    257,002.89/354,775.20 = 193,356.33/x
  3. Step 3: Cross multiply
    257,002.89x = 354,775.20 × 193,356.33
  4. Step 4: Simplify right side
    257,002.89x = 68,598,030,647.02
  5. Step 5: Solve for x
    x = 68,598,030,647.02/257,002.89
  6. Step 6: Final answer
    x = 266,915.41

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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.