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Finding the Fourth Proportional to 407,395, 611,109.06 and 194,053.24

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Solution

The fourth proportional to 407,395, 611,109.06 and 194,053.24 is: 291,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,395 : 611,109.06 = 194,053.24 : x
  2. Step 2: Convert to fraction form
    407,395/611,109.06 = 194,053.24/x
  3. Step 3: Cross multiply
    407,395x = 611,109.06 × 194,053.24
  4. Step 4: Simplify right side
    407,395x = 118,587,693,086.35
  5. Step 5: Solve for x
    x = 118,587,693,086.35/407,395
  6. Step 6: Final answer
    x = 291,087.75

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