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Finding the Fourth Proportional to 305,361.40, 457,827.49 and 134,502.03

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Solution

The fourth proportional to 305,361.40, 457,827.49 and 134,502.03 is: 201,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,361.40 : 457,827.49 = 134,502.03 : x
  2. Step 2: Convert to fraction form
    305,361.40/457,827.49 = 134,502.03/x
  3. Step 3: Cross multiply
    305,361.40x = 457,827.49 × 134,502.03
  4. Step 4: Simplify right side
    305,361.40x = 61,578,726,794.80
  5. Step 5: Solve for x
    x = 61,578,726,794.80/305,361.40
  6. Step 6: Final answer
    x = 201,658.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.