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Finding the Fourth Proportional to 375,644.16, 518,365.44 and 205,866.24

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Solution

The fourth proportional to 375,644.16, 518,365.44 and 205,866.24 is: 284,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,644.16 : 518,365.44 = 205,866.24 : x
  2. Step 2: Convert to fraction form
    375,644.16/518,365.44 = 205,866.24/x
  3. Step 3: Cross multiply
    375,644.16x = 518,365.44 × 205,866.24
  4. Step 4: Simplify right side
    375,644.16x = 106,713,944,078.75
  5. Step 5: Solve for x
    x = 106,713,944,078.75/375,644.16
  6. Step 6: Final answer
    x = 284,082.53

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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.