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Finding the Fourth Proportional to 493,894.64, 681,574.92 and 267,541.04

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Solution

The fourth proportional to 493,894.64, 681,574.92 and 267,541.04 is: 369,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,894.64 : 681,574.92 = 267,541.04 : x
  2. Step 2: Convert to fraction form
    493,894.64/681,574.92 = 267,541.04/x
  3. Step 3: Cross multiply
    493,894.64x = 681,574.92 × 267,541.04
  4. Step 4: Simplify right side
    493,894.64x = 182,349,262,934.72
  5. Step 5: Solve for x
    x = 182,349,262,934.72/493,894.64
  6. Step 6: Final answer
    x = 369,206.81

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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.