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Finding the Fourth Proportional to 296,478.51, 409,137.48 and 160,508.99

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Solution

The fourth proportional to 296,478.51, 409,137.48 and 160,508.99 is: 221,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,478.51 : 409,137.48 = 160,508.99 : x
  2. Step 2: Convert to fraction form
    296,478.51/409,137.48 = 160,508.99/x
  3. Step 3: Cross multiply
    296,478.51x = 409,137.48 × 160,508.99
  4. Step 4: Simplify right side
    296,478.51x = 65,670,241,640.26
  5. Step 5: Solve for x
    x = 65,670,241,640.26/296,478.51
  6. Step 6: Final answer
    x = 221,500.85

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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.