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Finding the Fourth Proportional to 365,977.71, 504,934.16 and 204,807.15

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Solution

The fourth proportional to 365,977.71, 504,934.16 and 204,807.15 is: 282,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,977.71 : 504,934.16 = 204,807.15 : x
  2. Step 2: Convert to fraction form
    365,977.71/504,934.16 = 204,807.15/x
  3. Step 3: Cross multiply
    365,977.71x = 504,934.16 × 204,807.15
  4. Step 4: Simplify right side
    365,977.71x = 103,414,125,223.21
  5. Step 5: Solve for x
    x = 103,414,125,223.21/365,977.71
  6. Step 6: Final answer
    x = 282,569.46

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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.