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Finding the Fourth Proportional to 341,922.38, 471,862.32 and 188,970.49

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Solution

The fourth proportional to 341,922.38, 471,862.32 and 188,970.49 is: 260,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,922.38 : 471,862.32 = 188,970.49 : x
  2. Step 2: Convert to fraction form
    341,922.38/471,862.32 = 188,970.49/x
  3. Step 3: Cross multiply
    341,922.38x = 471,862.32 × 188,970.49
  4. Step 4: Simplify right side
    341,922.38x = 89,168,053,822.94
  5. Step 5: Solve for x
    x = 89,168,053,822.94/341,922.38
  6. Step 6: Final answer
    x = 260,784.49

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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.