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Finding the Fourth Proportional to 526,758.94, 726,929.26 and 285,041.51

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Solution

The fourth proportional to 526,758.94, 726,929.26 and 285,041.51 is: 393,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,758.94 : 726,929.26 = 285,041.51 : x
  2. Step 2: Convert to fraction form
    526,758.94/726,929.26 = 285,041.51/x
  3. Step 3: Cross multiply
    526,758.94x = 726,929.26 × 285,041.51
  4. Step 4: Simplify right side
    526,758.94x = 207,205,016,107.21
  5. Step 5: Solve for x
    x = 207,205,016,107.21/526,758.94
  6. Step 6: Final answer
    x = 393,358.33

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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.