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Finding the Fourth Proportional to 365,932.49, 505,009.08 and 204,784.20

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Solution

The fourth proportional to 365,932.49, 505,009.08 and 204,784.20 is: 282,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,932.49 : 505,009.08 = 204,784.20 : x
  2. Step 2: Convert to fraction form
    365,932.49/505,009.08 = 204,784.20/x
  3. Step 3: Cross multiply
    365,932.49x = 505,009.08 × 204,784.20
  4. Step 4: Simplify right side
    365,932.49x = 103,417,880,440.54
  5. Step 5: Solve for x
    x = 103,417,880,440.54/365,932.49
  6. Step 6: Final answer
    x = 282,614.65

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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.