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Finding the Fourth Proportional to 533,506.07, 800,254.85 and 217,741.54

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Solution

The fourth proportional to 533,506.07, 800,254.85 and 217,741.54 is: 326,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,506.07 : 800,254.85 = 217,741.54 : x
  2. Step 2: Convert to fraction form
    533,506.07/800,254.85 = 217,741.54/x
  3. Step 3: Cross multiply
    533,506.07x = 800,254.85 × 217,741.54
  4. Step 4: Simplify right side
    533,506.07x = 174,248,723,431.47
  5. Step 5: Solve for x
    x = 174,248,723,431.47/533,506.07
  6. Step 6: Final answer
    x = 326,610.57

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1.5x scale

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.