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Finding the Fourth Proportional to 338,285.75, 466,834.29 and 202,319.67

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Solution

The fourth proportional to 338,285.75, 466,834.29 and 202,319.67 is: 279,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,285.75 : 466,834.29 = 202,319.67 : x
  2. Step 2: Convert to fraction form
    338,285.75/466,834.29 = 202,319.67/x
  3. Step 3: Cross multiply
    338,285.75x = 466,834.29 × 202,319.67
  4. Step 4: Simplify right side
    338,285.75x = 94,449,760,158.77
  5. Step 5: Solve for x
    x = 94,449,760,158.77/338,285.75
  6. Step 6: Final answer
    x = 279,201.12

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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.