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Finding the Fourth Proportional to 602,174.42, 903,262.31 and 202,781.75

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Solution

The fourth proportional to 602,174.42, 903,262.31 and 202,781.75 is: 304,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,174.42 : 903,262.31 = 202,781.75 : x
  2. Step 2: Convert to fraction form
    602,174.42/903,262.31 = 202,781.75/x
  3. Step 3: Cross multiply
    602,174.42x = 903,262.31 × 202,781.75
  4. Step 4: Simplify right side
    602,174.42x = 183,165,106,400.62
  5. Step 5: Solve for x
    x = 183,165,106,400.62/602,174.42
  6. Step 6: Final answer
    x = 304,172.85

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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.