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Finding the Fourth Proportional to 534,294.28, 801,847.66 and 197,653.32

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Solution

The fourth proportional to 534,294.28, 801,847.66 and 197,653.32 is: 296,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,294.28 : 801,847.66 = 197,653.32 : x
  2. Step 2: Convert to fraction form
    534,294.28/801,847.66 = 197,653.32/x
  3. Step 3: Cross multiply
    534,294.28x = 801,847.66 × 197,653.32
  4. Step 4: Simplify right side
    534,294.28x = 158,487,852,133.23
  5. Step 5: Solve for x
    x = 158,487,852,133.23/534,294.28
  6. Step 6: Final answer
    x = 296,630.26

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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.