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Finding the Fourth Proportional to 296,569.30, 409,265.86 and 160,604.32

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Solution

The fourth proportional to 296,569.30, 409,265.86 and 160,604.32 is: 221,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,569.30 : 409,265.86 = 160,604.32 : x
  2. Step 2: Convert to fraction form
    296,569.30/409,265.86 = 160,604.32/x
  3. Step 3: Cross multiply
    296,569.30x = 409,265.86 × 160,604.32
  4. Step 4: Simplify right side
    296,569.30x = 65,729,865,144.52
  5. Step 5: Solve for x
    x = 65,729,865,144.52/296,569.30
  6. Step 6: Final answer
    x = 221,634.08

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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.