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Finding the Fourth Proportional to 314,709.69, 472,060.89 and 188,385.24

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Solution

The fourth proportional to 314,709.69, 472,060.89 and 188,385.24 is: 282,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,709.69 : 472,060.89 = 188,385.24 : x
  2. Step 2: Convert to fraction form
    314,709.69/472,060.89 = 188,385.24/x
  3. Step 3: Cross multiply
    314,709.69x = 472,060.89 × 188,385.24
  4. Step 4: Simplify right side
    314,709.69x = 88,929,304,057.26
  5. Step 5: Solve for x
    x = 88,929,304,057.26/314,709.69
  6. Step 6: Final answer
    x = 282,575.68

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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.