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Finding the Fourth Proportional to 316,792.62, 476,537.42 and 287,164.15

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Solution

The fourth proportional to 316,792.62, 476,537.42 and 287,164.15 is: 431,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,792.62 : 476,537.42 = 287,164.15 : x
  2. Step 2: Convert to fraction form
    316,792.62/476,537.42 = 287,164.15/x
  3. Step 3: Cross multiply
    316,792.62x = 476,537.42 × 287,164.15
  4. Step 4: Simplify right side
    316,792.62x = 136,844,461,721.67
  5. Step 5: Solve for x
    x = 136,844,461,721.67/316,792.62
  6. Step 6: Final answer
    x = 431,968.59

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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.