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Finding the Fourth Proportional to 535,046.28, 802,528.40 and 197,928.40

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Solution

The fourth proportional to 535,046.28, 802,528.40 and 197,928.40 is: 296,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,046.28 : 802,528.40 = 197,928.40 : x
  2. Step 2: Convert to fraction form
    535,046.28/802,528.40 = 197,928.40/x
  3. Step 3: Cross multiply
    535,046.28x = 802,528.40 × 197,928.40
  4. Step 4: Simplify right side
    535,046.28x = 158,843,162,166.56
  5. Step 5: Solve for x
    x = 158,843,162,166.56/535,046.28
  6. Step 6: Final answer
    x = 296,877.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.