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Finding the Fourth Proportional to 475,102.90, 713,057.55 and 194,821.30

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Solution

The fourth proportional to 475,102.90, 713,057.55 and 194,821.30 is: 292,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,102.90 : 713,057.55 = 194,821.30 : x
  2. Step 2: Convert to fraction form
    475,102.90/713,057.55 = 194,821.30/x
  3. Step 3: Cross multiply
    475,102.90x = 713,057.55 × 194,821.30
  4. Step 4: Simplify right side
    475,102.90x = 138,918,798,865.82
  5. Step 5: Solve for x
    x = 138,918,798,865.82/475,102.90
  6. Step 6: Final answer
    x = 292,397.29

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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.