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Finding the Fourth Proportional to 533,562.84, 800,285.29 and 134,203.77

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Solution

The fourth proportional to 533,562.84, 800,285.29 and 134,203.77 is: 201,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,562.84 : 800,285.29 = 134,203.77 : x
  2. Step 2: Convert to fraction form
    533,562.84/800,285.29 = 134,203.77/x
  3. Step 3: Cross multiply
    533,562.84x = 800,285.29 × 134,203.77
  4. Step 4: Simplify right side
    533,562.84x = 107,401,302,322.52
  5. Step 5: Solve for x
    x = 107,401,302,322.52/533,562.84
  6. Step 6: Final answer
    x = 201,290.82

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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.