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Finding the Fourth Proportional to 322,716, 484,099.56 and 98,095.92

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Solution

The fourth proportional to 322,716, 484,099.56 and 98,095.92 is: 147,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,716 : 484,099.56 = 98,095.92 : x
  2. Step 2: Convert to fraction form
    322,716/484,099.56 = 98,095.92/x
  3. Step 3: Cross multiply
    322,716x = 484,099.56 × 98,095.92
  4. Step 4: Simplify right side
    322,716x = 47,488,191,709.80
  5. Step 5: Solve for x
    x = 47,488,191,709.80/322,716
  6. Step 6: Final answer
    x = 147,151.65

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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.