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Finding the Fourth Proportional to 289,053.51, 398,941.05 and 198,334.59

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Solution

The fourth proportional to 289,053.51, 398,941.05 and 198,334.59 is: 273,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,053.51 : 398,941.05 = 198,334.59 : x
  2. Step 2: Convert to fraction form
    289,053.51/398,941.05 = 198,334.59/x
  3. Step 3: Cross multiply
    289,053.51x = 398,941.05 × 198,334.59
  4. Step 4: Simplify right side
    289,053.51x = 79,123,809,585.92
  5. Step 5: Solve for x
    x = 79,123,809,585.92/289,053.51
  6. Step 6: Final answer
    x = 273,734.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.