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Finding the Fourth Proportional to 407,886.79, 611,842.25 and 194,677.17

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Solution

The fourth proportional to 407,886.79, 611,842.25 and 194,677.17 is: 292,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,886.79 : 611,842.25 = 194,677.17 : x
  2. Step 2: Convert to fraction form
    407,886.79/611,842.25 = 194,677.17/x
  3. Step 3: Cross multiply
    407,886.79x = 611,842.25 × 194,677.17
  4. Step 4: Simplify right side
    407,886.79x = 119,111,717,716.43
  5. Step 5: Solve for x
    x = 119,111,717,716.43/407,886.79
  6. Step 6: Final answer
    x = 292,021.51

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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.