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Finding the Fourth Proportional to 497,804.66, 686,969.15 and 271,450.16

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Solution

The fourth proportional to 497,804.66, 686,969.15 and 271,450.16 is: 374,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,804.66 : 686,969.15 = 271,450.16 : x
  2. Step 2: Convert to fraction form
    497,804.66/686,969.15 = 271,450.16/x
  3. Step 3: Cross multiply
    497,804.66x = 686,969.15 × 271,450.16
  4. Step 4: Simplify right side
    497,804.66x = 186,477,885,682.56
  5. Step 5: Solve for x
    x = 186,477,885,682.56/497,804.66
  6. Step 6: Final answer
    x = 374,600.52

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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.