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Finding the Fourth Proportional to 367,429.02, 507,012.92 and 206,301.66

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Solution

The fourth proportional to 367,429.02, 507,012.92 and 206,301.66 is: 284,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,429.02 : 507,012.92 = 206,301.66 : x
  2. Step 2: Convert to fraction form
    367,429.02/507,012.92 = 206,301.66/x
  3. Step 3: Cross multiply
    367,429.02x = 507,012.92 × 206,301.66
  4. Step 4: Simplify right side
    367,429.02x = 104,597,607,037.45
  5. Step 5: Solve for x
    x = 104,597,607,037.45/367,429.02
  6. Step 6: Final answer
    x = 284,674.32

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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.