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Finding the Fourth Proportional to 356,909.02, 534,649.74 and 214,675.75

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Solution

The fourth proportional to 356,909.02, 534,649.74 and 214,675.75 is: 321,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,909.02 : 534,649.74 = 214,675.75 : x
  2. Step 2: Convert to fraction form
    356,909.02/534,649.74 = 214,675.75/x
  3. Step 3: Cross multiply
    356,909.02x = 534,649.74 × 214,675.75
  4. Step 4: Simplify right side
    356,909.02x = 114,776,332,848.43
  5. Step 5: Solve for x
    x = 114,776,332,848.43/356,909.02
  6. Step 6: Final answer
    x = 321,584.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.