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Finding the Fourth Proportional to 533,597.66, 800,203.76 and 178,528.66

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Solution

The fourth proportional to 533,597.66, 800,203.76 and 178,528.66 is: 267,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,597.66 : 800,203.76 = 178,528.66 : x
  2. Step 2: Convert to fraction form
    533,597.66/800,203.76 = 178,528.66/x
  3. Step 3: Cross multiply
    533,597.66x = 800,203.76 × 178,528.66
  4. Step 4: Simplify right side
    533,597.66x = 142,859,302,776.09
  5. Step 5: Solve for x
    x = 142,859,302,776.09/533,597.66
  6. Step 6: Final answer
    x = 267,728.50

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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.