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Finding the Fourth Proportional to 355,569.12, 490,808.94 and 204,726.24

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Solution

The fourth proportional to 355,569.12, 490,808.94 and 204,726.24 is: 282,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,569.12 : 490,808.94 = 204,726.24 : x
  2. Step 2: Convert to fraction form
    355,569.12/490,808.94 = 204,726.24/x
  3. Step 3: Cross multiply
    355,569.12x = 490,808.94 × 204,726.24
  4. Step 4: Simplify right side
    355,569.12x = 100,481,468,844.59
  5. Step 5: Solve for x
    x = 100,481,468,844.59/355,569.12
  6. Step 6: Final answer
    x = 282,593.35

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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.