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Finding the Fourth Proportional to 427,266.90, 640,499.40 and 161,206.20

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Solution

The fourth proportional to 427,266.90, 640,499.40 and 161,206.20 is: 241,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,266.90 : 640,499.40 = 161,206.20 : x
  2. Step 2: Convert to fraction form
    427,266.90/640,499.40 = 161,206.20/x
  3. Step 3: Cross multiply
    427,266.90x = 640,499.40 × 161,206.20
  4. Step 4: Simplify right side
    427,266.90x = 103,252,474,376.28
  5. Step 5: Solve for x
    x = 103,252,474,376.28/427,266.90
  6. Step 6: Final answer
    x = 241,658.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.