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Finding the Fourth Proportional to 533,774.04, 800,146.69 and 196,630.40

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Solution

The fourth proportional to 533,774.04, 800,146.69 and 196,630.40 is: 294,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,774.04 : 800,146.69 = 196,630.40 : x
  2. Step 2: Convert to fraction form
    533,774.04/800,146.69 = 196,630.40/x
  3. Step 3: Cross multiply
    533,774.04x = 800,146.69 × 196,630.40
  4. Step 4: Simplify right side
    533,774.04x = 157,333,165,222.17
  5. Step 5: Solve for x
    x = 157,333,165,222.17/533,774.04
  6. Step 6: Final answer
    x = 294,756.12

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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.