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Finding the Fourth Proportional to 408,046.64, 563,107.47 and 226,775.57

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Solution

The fourth proportional to 408,046.64, 563,107.47 and 226,775.57 is: 312,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046.64 : 563,107.47 = 226,775.57 : x
  2. Step 2: Convert to fraction form
    408,046.64/563,107.47 = 226,775.57/x
  3. Step 3: Cross multiply
    408,046.64x = 563,107.47 × 226,775.57
  4. Step 4: Simplify right side
    408,046.64x = 127,699,017,480.51
  5. Step 5: Solve for x
    x = 127,699,017,480.51/408,046.64
  6. Step 6: Final answer
    x = 312,952.01

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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.