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Finding the Fourth Proportional to 386,127.35, 532,828.86 and 214,043.66

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Solution

The fourth proportional to 386,127.35, 532,828.86 and 214,043.66 is: 295,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,127.35 : 532,828.86 = 214,043.66 : x
  2. Step 2: Convert to fraction form
    386,127.35/532,828.86 = 214,043.66/x
  3. Step 3: Cross multiply
    386,127.35x = 532,828.86 × 214,043.66
  4. Step 4: Simplify right side
    386,127.35x = 114,048,639,348.03
  5. Step 5: Solve for x
    x = 114,048,639,348.03/386,127.35
  6. Step 6: Final answer
    x = 295,365.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.