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Finding the Fourth Proportional to 386,222.16, 532,957.26 and 216,423.48

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Solution

The fourth proportional to 386,222.16, 532,957.26 and 216,423.48 is: 298,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,222.16 : 532,957.26 = 216,423.48 : x
  2. Step 2: Convert to fraction form
    386,222.16/532,957.26 = 216,423.48/x
  3. Step 3: Cross multiply
    386,222.16x = 532,957.26 × 216,423.48
  4. Step 4: Simplify right side
    386,222.16x = 115,344,464,900.47
  5. Step 5: Solve for x
    x = 115,344,464,900.47/386,222.16
  6. Step 6: Final answer
    x = 298,647.97

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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.