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Finding the Fourth Proportional to 265,217.34, 365,748.27 and 204,692.12

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Solution

The fourth proportional to 265,217.34, 365,748.27 and 204,692.12 is: 282,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,217.34 : 365,748.27 = 204,692.12 : x
  2. Step 2: Convert to fraction form
    265,217.34/365,748.27 = 204,692.12/x
  3. Step 3: Cross multiply
    265,217.34x = 365,748.27 × 204,692.12
  4. Step 4: Simplify right side
    265,217.34x = 74,865,788,772.63
  5. Step 5: Solve for x
    x = 74,865,788,772.63/265,217.34
  6. Step 6: Final answer
    x = 282,280.90

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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.