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Finding the Fourth Proportional to 526,523.16, 726,599.88 and 284,805.48

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Solution

The fourth proportional to 526,523.16, 726,599.88 and 284,805.48 is: 393,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,523.16 : 726,599.88 = 284,805.48 : x
  2. Step 2: Convert to fraction form
    526,523.16/726,599.88 = 284,805.48/x
  3. Step 3: Cross multiply
    526,523.16x = 726,599.88 × 284,805.48
  4. Step 4: Simplify right side
    526,523.16x = 206,939,627,591.34
  5. Step 5: Solve for x
    x = 206,939,627,591.34/526,523.16
  6. Step 6: Final answer
    x = 393,030.44

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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.