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Finding the Fourth Proportional to 409,701.67, 565,745.30 and 257,002.34

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Solution

The fourth proportional to 409,701.67, 565,745.30 and 257,002.34 is: 354,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,701.67 : 565,745.30 = 257,002.34 : x
  2. Step 2: Convert to fraction form
    409,701.67/565,745.30 = 257,002.34/x
  3. Step 3: Cross multiply
    409,701.67x = 565,745.30 × 257,002.34
  4. Step 4: Simplify right side
    409,701.67x = 145,397,865,252.33
  5. Step 5: Solve for x
    x = 145,397,865,252.33/409,701.67
  6. Step 6: Final answer
    x = 354,887.17

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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.