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Finding the Fourth Proportional to 296,615.60, 409,329.95 and 160,649.81

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Solution

The fourth proportional to 296,615.60, 409,329.95 and 160,649.81 is: 221,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,615.60 : 409,329.95 = 160,649.81 : x
  2. Step 2: Convert to fraction form
    296,615.60/409,329.95 = 160,649.81/x
  3. Step 3: Cross multiply
    296,615.60x = 409,329.95 × 160,649.81
  4. Step 4: Simplify right side
    296,615.60x = 65,758,775,844.91
  5. Step 5: Solve for x
    x = 65,758,775,844.91/296,615.60
  6. Step 6: Final answer
    x = 221,696.96

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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.