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Finding the Fourth Proportional to 367,128.75, 506,669.73 and 214,216.20

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Solution

The fourth proportional to 367,128.75, 506,669.73 and 214,216.20 is: 295,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,128.75 : 506,669.73 = 214,216.20 : x
  2. Step 2: Convert to fraction form
    367,128.75/506,669.73 = 214,216.20/x
  3. Step 3: Cross multiply
    367,128.75x = 506,669.73 × 214,216.20
  4. Step 4: Simplify right side
    367,128.75x = 108,536,864,215.63
  5. Step 5: Solve for x
    x = 108,536,864,215.63/367,128.75
  6. Step 6: Final answer
    x = 295,637.06

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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.