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Finding the Fourth Proportional to 533,810.03, 800,724.32 and 196,677.16

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Solution

The fourth proportional to 533,810.03, 800,724.32 and 196,677.16 is: 295,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,810.03 : 800,724.32 = 196,677.16 : x
  2. Step 2: Convert to fraction form
    533,810.03/800,724.32 = 196,677.16/x
  3. Step 3: Cross multiply
    533,810.03x = 800,724.32 × 196,677.16
  4. Step 4: Simplify right side
    533,810.03x = 157,484,185,200.53
  5. Step 5: Solve for x
    x = 157,484,185,200.53/533,810.03
  6. Step 6: Final answer
    x = 295,019.16

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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.