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Finding the Fourth Proportional to 526,430.77, 726,474.44 and 284,713.34

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Solution

The fourth proportional to 526,430.77, 726,474.44 and 284,713.34 is: 392,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,430.77 : 726,474.44 = 284,713.34 : x
  2. Step 2: Convert to fraction form
    526,430.77/726,474.44 = 284,713.34/x
  3. Step 3: Cross multiply
    526,430.77x = 726,474.44 × 284,713.34
  4. Step 4: Simplify right side
    526,430.77x = 206,836,961,316.44
  5. Step 5: Solve for x
    x = 206,836,961,316.44/526,430.77
  6. Step 6: Final answer
    x = 392,904.39

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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.