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Finding the Fourth Proportional to 386,225.16, 532,961.40 and 216,426.48

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Solution

The fourth proportional to 386,225.16, 532,961.40 and 216,426.48 is: 298,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,225.16 : 532,961.40 = 216,426.48 : x
  2. Step 2: Convert to fraction form
    386,225.16/532,961.40 = 216,426.48/x
  3. Step 3: Cross multiply
    386,225.16x = 532,961.40 × 216,426.48
  4. Step 4: Simplify right side
    386,225.16x = 115,346,959,777.87
  5. Step 5: Solve for x
    x = 115,346,959,777.87/386,225.16
  6. Step 6: Final answer
    x = 298,652.11

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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.