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Finding the Fourth Proportional to 390,198.67, 585,298.24 and 109,715.92

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Solution

The fourth proportional to 390,198.67, 585,298.24 and 109,715.92 is: 164,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,198.67 : 585,298.24 = 109,715.92 : x
  2. Step 2: Convert to fraction form
    390,198.67/585,298.24 = 109,715.92/x
  3. Step 3: Cross multiply
    390,198.67x = 585,298.24 × 109,715.92
  4. Step 4: Simplify right side
    390,198.67x = 64,216,534,327.40
  5. Step 5: Solve for x
    x = 64,216,534,327.40/390,198.67
  6. Step 6: Final answer
    x = 164,573.94

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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.