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Finding the Fourth Proportional to 283,338, 390,972.42 and 162,473.04

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Solution

The fourth proportional to 283,338, 390,972.42 and 162,473.04 is: 224,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,338 : 390,972.42 = 162,473.04 : x
  2. Step 2: Convert to fraction form
    283,338/390,972.42 = 162,473.04/x
  3. Step 3: Cross multiply
    283,338x = 390,972.42 × 162,473.04
  4. Step 4: Simplify right side
    283,338x = 63,522,477,633.56
  5. Step 5: Solve for x
    x = 63,522,477,633.56/283,338
  6. Step 6: Final answer
    x = 224,193.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.