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Finding the Fourth Proportional to 526,635.50, 726,762.26 and 284,923.28

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Solution

The fourth proportional to 526,635.50, 726,762.26 and 284,923.28 is: 393,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,635.50 : 726,762.26 = 284,923.28 : x
  2. Step 2: Convert to fraction form
    526,635.50/726,762.26 = 284,923.28/x
  3. Step 3: Cross multiply
    526,635.50x = 726,762.26 × 284,923.28
  4. Step 4: Simplify right side
    526,635.50x = 207,071,486,899.41
  5. Step 5: Solve for x
    x = 207,071,486,899.41/526,635.50
  6. Step 6: Final answer
    x = 393,196.98

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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.