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Finding the Fourth Proportional to 407,882.80, 611,836.26 and 194,673.18

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Solution

The fourth proportional to 407,882.80, 611,836.26 and 194,673.18 is: 292,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,882.80 : 611,836.26 = 194,673.18 : x
  2. Step 2: Convert to fraction form
    407,882.80/611,836.26 = 194,673.18/x
  3. Step 3: Cross multiply
    407,882.80x = 611,836.26 × 194,673.18
  4. Step 4: Simplify right side
    407,882.80x = 119,108,110,373.51
  5. Step 5: Solve for x
    x = 119,108,110,373.51/407,882.80
  6. Step 6: Final answer
    x = 292,015.53

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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.