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Finding the Fourth Proportional to 952,880.81, 1,314,978.09 and 523,188.77

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Solution

The fourth proportional to 952,880.81, 1,314,978.09 and 523,188.77 is: 722,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,880.81 : 1,314,978.09 = 523,188.77 : x
  2. Step 2: Convert to fraction form
    952,880.81/1,314,978.09 = 523,188.77/x
  3. Step 3: Cross multiply
    952,880.81x = 1,314,978.09 × 523,188.77
  4. Step 4: Simplify right side
    952,880.81x = 687,981,769,484.05
  5. Step 5: Solve for x
    x = 687,981,769,484.05/952,880.81
  6. Step 6: Final answer
    x = 722,001.91

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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.