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Finding the Fourth Proportional to 602,267, 903,452.82 and 159,035

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Solution

The fourth proportional to 602,267, 903,452.82 and 159,035 is: 238,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,267 : 903,452.82 = 159,035 : x
  2. Step 2: Convert to fraction form
    602,267/903,452.82 = 159,035/x
  3. Step 3: Cross multiply
    602,267x = 903,452.82 × 159,035
  4. Step 4: Simplify right side
    602,267x = 143,680,619,228.70
  5. Step 5: Solve for x
    x = 143,680,619,228.70/602,267
  6. Step 6: Final answer
    x = 238,566.32

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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.