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Finding the Fourth Proportional to 296,569.02, 409,263.22 and 160,599.86

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Solution

The fourth proportional to 296,569.02, 409,263.22 and 160,599.86 is: 221,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,569.02 : 409,263.22 = 160,599.86 : x
  2. Step 2: Convert to fraction form
    296,569.02/409,263.22 = 160,599.86/x
  3. Step 3: Cross multiply
    296,569.02x = 409,263.22 × 160,599.86
  4. Step 4: Simplify right side
    296,569.02x = 65,727,615,835.15
  5. Step 5: Solve for x
    x = 65,727,615,835.15/296,569.02
  6. Step 6: Final answer
    x = 221,626.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.