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Finding the Fourth Proportional to 407,394.50, 611,108.31 and 194,052.74

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Solution

The fourth proportional to 407,394.50, 611,108.31 and 194,052.74 is: 291,087.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,394.50 : 611,108.31 = 194,052.74 : x
  2. Step 2: Convert to fraction form
    407,394.50/611,108.31 = 194,052.74/x
  3. Step 3: Cross multiply
    407,394.50x = 611,108.31 × 194,052.74
  4. Step 4: Simplify right side
    407,394.50x = 118,587,241,992.27
  5. Step 5: Solve for x
    x = 118,587,241,992.27/407,394.50
  6. Step 6: Final answer
    x = 291,087.00

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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.