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Finding the Fourth Proportional to 378,343.70, 567,124.45 and 175,774.55

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Solution

The fourth proportional to 378,343.70, 567,124.45 and 175,774.55 is: 263,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,343.70 : 567,124.45 = 175,774.55 : x
  2. Step 2: Convert to fraction form
    378,343.70/567,124.45 = 175,774.55/x
  3. Step 3: Cross multiply
    378,343.70x = 567,124.45 × 175,774.55
  4. Step 4: Simplify right side
    378,343.70x = 99,686,044,992.75
  5. Step 5: Solve for x
    x = 99,686,044,992.75/378,343.70
  6. Step 6: Final answer
    x = 263,480.12

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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.