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Finding the Fourth Proportional to 541,818.70, 747,701.57 and 296,801.50

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Solution

The fourth proportional to 541,818.70, 747,701.57 and 296,801.50 is: 409,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,818.70 : 747,701.57 = 296,801.50 : x
  2. Step 2: Convert to fraction form
    541,818.70/747,701.57 = 296,801.50/x
  3. Step 3: Cross multiply
    541,818.70x = 747,701.57 × 296,801.50
  4. Step 4: Simplify right side
    541,818.70x = 221,918,947,528.36
  5. Step 5: Solve for x
    x = 221,918,947,528.36/541,818.70
  6. Step 6: Final answer
    x = 409,581.56

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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.