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Finding the Fourth Proportional to 296,493.64, 409,164.44 and 160,530.42

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Solution

The fourth proportional to 296,493.64, 409,164.44 and 160,530.42 is: 221,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,493.64 : 409,164.44 = 160,530.42 : x
  2. Step 2: Convert to fraction form
    296,493.64/409,164.44 = 160,530.42/x
  3. Step 3: Cross multiply
    296,493.64x = 409,164.44 × 160,530.42
  4. Step 4: Simplify right side
    296,493.64x = 65,683,339,402.26
  5. Step 5: Solve for x
    x = 65,683,339,402.26/296,493.64
  6. Step 6: Final answer
    x = 221,533.72

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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.