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Finding the Fourth Proportional to 365,732.24, 504,730.10 and 204,577.68

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Solution

The fourth proportional to 365,732.24, 504,730.10 and 204,577.68 is: 282,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,732.24 : 504,730.10 = 204,577.68 : x
  2. Step 2: Convert to fraction form
    365,732.24/504,730.10 = 204,577.68/x
  3. Step 3: Cross multiply
    365,732.24x = 504,730.10 × 204,577.68
  4. Step 4: Simplify right side
    365,732.24x = 103,256,510,166.63
  5. Step 5: Solve for x
    x = 103,256,510,166.63/365,732.24
  6. Step 6: Final answer
    x = 282,328.16

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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.