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Finding the Fourth Proportional to 526,283.49, 726,271.73 and 284,566

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Solution

The fourth proportional to 526,283.49, 726,271.73 and 284,566 is: 392,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,283.49 : 726,271.73 = 284,566 : x
  2. Step 2: Convert to fraction form
    526,283.49/726,271.73 = 284,566/x
  3. Step 3: Cross multiply
    526,283.49x = 726,271.73 × 284,566
  4. Step 4: Simplify right side
    526,283.49x = 206,672,241,119.18
  5. Step 5: Solve for x
    x = 206,672,241,119.18/526,283.49
  6. Step 6: Final answer
    x = 392,701.36

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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.