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Finding the Fourth Proportional to 407,887.79, 611,843.75 and 194,678.17

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Solution

The fourth proportional to 407,887.79, 611,843.75 and 194,678.17 is: 292,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,887.79 : 611,843.75 = 194,678.17 : x
  2. Step 2: Convert to fraction form
    407,887.79/611,843.75 = 194,678.17/x
  3. Step 3: Cross multiply
    407,887.79x = 611,843.75 × 194,678.17
  4. Step 4: Simplify right side
    407,887.79x = 119,112,621,575.94
  5. Step 5: Solve for x
    x = 119,112,621,575.94/407,887.79
  6. Step 6: Final answer
    x = 292,023.01

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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.