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Finding the Fourth Proportional to 497,390.76, 686,399.13 and 271,036.26

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Solution

The fourth proportional to 497,390.76, 686,399.13 and 271,036.26 is: 374,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,390.76 : 686,399.13 = 271,036.26 : x
  2. Step 2: Convert to fraction form
    497,390.76/686,399.13 = 271,036.26/x
  3. Step 3: Cross multiply
    497,390.76x = 686,399.13 × 271,036.26
  4. Step 4: Simplify right side
    497,390.76x = 186,039,053,062.45
  5. Step 5: Solve for x
    x = 186,039,053,062.45/497,390.76
  6. Step 6: Final answer
    x = 374,029.97

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1.5x scale

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.