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Finding the Fourth Proportional to 282,797.40, 424,174.05 and 164,393.22

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Solution

The fourth proportional to 282,797.40, 424,174.05 and 164,393.22 is: 246,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,797.40 : 424,174.05 = 164,393.22 : x
  2. Step 2: Convert to fraction form
    282,797.40/424,174.05 = 164,393.22/x
  3. Step 3: Cross multiply
    282,797.40x = 424,174.05 × 164,393.22
  4. Step 4: Simplify right side
    282,797.40x = 69,731,337,919.94
  5. Step 5: Solve for x
    x = 69,731,337,919.94/282,797.40
  6. Step 6: Final answer
    x = 246,577.01

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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.