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Finding the Fourth Proportional to 296,763.90, 409,534.55 and 160,797.81

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Solution

The fourth proportional to 296,763.90, 409,534.55 and 160,797.81 is: 221,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,763.90 : 409,534.55 = 160,797.81 : x
  2. Step 2: Convert to fraction form
    296,763.90/409,534.55 = 160,797.81/x
  3. Step 3: Cross multiply
    296,763.90x = 409,534.55 × 160,797.81
  4. Step 4: Simplify right side
    296,763.90x = 65,852,257,790.46
  5. Step 5: Solve for x
    x = 65,852,257,790.46/296,763.90
  6. Step 6: Final answer
    x = 221,901.17

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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.