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Finding the Fourth Proportional to 386,104.28, 532,827.32 and 214,026

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Solution

The fourth proportional to 386,104.28, 532,827.32 and 214,026 is: 295,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,104.28 : 532,827.32 = 214,026 : x
  2. Step 2: Convert to fraction form
    386,104.28/532,827.32 = 214,026/x
  3. Step 3: Cross multiply
    386,104.28x = 532,827.32 × 214,026
  4. Step 4: Simplify right side
    386,104.28x = 114,038,899,990.32
  5. Step 5: Solve for x
    x = 114,038,899,990.32/386,104.28
  6. Step 6: Final answer
    x = 295,357.77

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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.