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Finding the Fourth Proportional to 338,280.50, 466,827.10 and 204,144.50

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Solution

The fourth proportional to 338,280.50, 466,827.10 and 204,144.50 is: 281,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,280.50 : 466,827.10 = 204,144.50 : x
  2. Step 2: Convert to fraction form
    338,280.50/466,827.10 = 204,144.50/x
  3. Step 3: Cross multiply
    338,280.50x = 466,827.10 × 204,144.50
  4. Step 4: Simplify right side
    338,280.50x = 95,300,184,915.95
  5. Step 5: Solve for x
    x = 95,300,184,915.95/338,280.50
  6. Step 6: Final answer
    x = 281,719.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.