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Finding the Fourth Proportional to 296,477.01, 409,135.41 and 160,507.49

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Solution

The fourth proportional to 296,477.01, 409,135.41 and 160,507.49 is: 221,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,477.01 : 409,135.41 = 160,507.49 : x
  2. Step 2: Convert to fraction form
    296,477.01/409,135.41 = 160,507.49/x
  3. Step 3: Cross multiply
    296,477.01x = 409,135.41 × 160,507.49
  4. Step 4: Simplify right side
    296,477.01x = 65,669,295,683.54
  5. Step 5: Solve for x
    x = 65,669,295,683.54/296,477.01
  6. Step 6: Final answer
    x = 221,498.78

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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.