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Finding the Fourth Proportional to 497,504, 686,555.52 and 271,150.04

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Solution

The fourth proportional to 497,504, 686,555.52 and 271,150.04 is: 374,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,504 : 686,555.52 = 271,150.04 : x
  2. Step 2: Convert to fraction form
    497,504/686,555.52 = 271,150.04/x
  3. Step 3: Cross multiply
    497,504x = 686,555.52 × 271,150.04
  4. Step 4: Simplify right side
    497,504x = 186,159,556,710.22
  5. Step 5: Solve for x
    x = 186,159,556,710.22/497,504
  6. Step 6: Final answer
    x = 374,187.06

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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.