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Finding the Fourth Proportional to 386,949, 534,023.16 and 214,900.14

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Solution

The fourth proportional to 386,949, 534,023.16 and 214,900.14 is: 296,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,949 : 534,023.16 = 214,900.14 : x
  2. Step 2: Convert to fraction form
    386,949/534,023.16 = 214,900.14/x
  3. Step 3: Cross multiply
    386,949x = 534,023.16 × 214,900.14
  4. Step 4: Simplify right side
    386,949x = 114,761,651,847.24
  5. Step 5: Solve for x
    x = 114,761,651,847.24/386,949
  6. Step 6: Final answer
    x = 296,580.82

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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.