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Finding the Fourth Proportional to 497,792.58, 686,967.93 and 271,450.50

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Solution

The fourth proportional to 497,792.58, 686,967.93 and 271,450.50 is: 374,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,792.58 : 686,967.93 = 271,450.50 : x
  2. Step 2: Convert to fraction form
    497,792.58/686,967.93 = 271,450.50/x
  3. Step 3: Cross multiply
    497,792.58x = 686,967.93 × 271,450.50
  4. Step 4: Simplify right side
    497,792.58x = 186,477,788,082.47
  5. Step 5: Solve for x
    x = 186,477,788,082.47/497,792.58
  6. Step 6: Final answer
    x = 374,609.42

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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.