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Finding the Fourth Proportional to 497,653.84, 686,758.80 and 271,300.96

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Solution

The fourth proportional to 497,653.84, 686,758.80 and 271,300.96 is: 374,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,653.84 : 686,758.80 = 271,300.96 : x
  2. Step 2: Convert to fraction form
    497,653.84/686,758.80 = 271,300.96/x
  3. Step 3: Cross multiply
    497,653.84x = 686,758.80 × 271,300.96
  4. Step 4: Simplify right side
    497,653.84x = 186,318,321,728.45
  5. Step 5: Solve for x
    x = 186,318,321,728.45/497,653.84
  6. Step 6: Final answer
    x = 374,393.42

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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.