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Finding the Fourth Proportional to 382,039.38, 573,078.68 and 97,732.38

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Solution

The fourth proportional to 382,039.38, 573,078.68 and 97,732.38 is: 146,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,039.38 : 573,078.68 = 97,732.38 : x
  2. Step 2: Convert to fraction form
    382,039.38/573,078.68 = 97,732.38/x
  3. Step 3: Cross multiply
    382,039.38x = 573,078.68 × 97,732.38
  4. Step 4: Simplify right side
    382,039.38x = 56,008,342,835.00
  5. Step 5: Solve for x
    x = 56,008,342,835.00/382,039.38
  6. Step 6: Final answer
    x = 146,603.59

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1.5x scale

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.