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Finding the Fourth Proportional to 494,422.80, 741,461.40 and 257,686.80

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Solution

The fourth proportional to 494,422.80, 741,461.40 and 257,686.80 is: 386,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,422.80 : 741,461.40 = 257,686.80 : x
  2. Step 2: Convert to fraction form
    494,422.80/741,461.40 = 257,686.80/x
  3. Step 3: Cross multiply
    494,422.80x = 741,461.40 × 257,686.80
  4. Step 4: Simplify right side
    494,422.80x = 191,064,815,489.52
  5. Step 5: Solve for x
    x = 191,064,815,489.52/494,422.80
  6. Step 6: Final answer
    x = 386,440.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.