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Finding the Fourth Proportional to 526,426.25, 726,468.22 and 284,708.82

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Solution

The fourth proportional to 526,426.25, 726,468.22 and 284,708.82 is: 392,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,426.25 : 726,468.22 = 284,708.82 : x
  2. Step 2: Convert to fraction form
    526,426.25/726,468.22 = 284,708.82/x
  3. Step 3: Cross multiply
    526,426.25x = 726,468.22 × 284,708.82
  4. Step 4: Simplify right side
    526,426.25x = 206,831,910,803.18
  5. Step 5: Solve for x
    x = 206,831,910,803.18/526,426.25
  6. Step 6: Final answer
    x = 392,898.17

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1.5x scale

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.