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Finding the Fourth Proportional to 296,484.30, 409,143.39 and 160,517.14

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Solution

The fourth proportional to 296,484.30, 409,143.39 and 160,517.14 is: 221,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484.30 : 409,143.39 = 160,517.14 : x
  2. Step 2: Convert to fraction form
    296,484.30/409,143.39 = 160,517.14/x
  3. Step 3: Cross multiply
    296,484.30x = 409,143.39 × 160,517.14
  4. Step 4: Simplify right side
    296,484.30x = 65,674,528,166.52
  5. Step 5: Solve for x
    x = 65,674,528,166.52/296,484.30
  6. Step 6: Final answer
    x = 221,510.98

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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.