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Finding the Fourth Proportional to 296,730.41, 409,488.01 and 160,765.29

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Solution

The fourth proportional to 296,730.41, 409,488.01 and 160,765.29 is: 221,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,730.41 : 409,488.01 = 160,765.29 : x
  2. Step 2: Convert to fraction form
    296,730.41/409,488.01 = 160,765.29/x
  3. Step 3: Cross multiply
    296,730.41x = 409,488.01 × 160,765.29
  4. Step 4: Simplify right side
    296,730.41x = 65,831,458,277.26
  5. Step 5: Solve for x
    x = 65,831,458,277.26/296,730.41
  6. Step 6: Final answer
    x = 221,856.13

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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.