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Finding the Fourth Proportional to 386,954.06, 533,967.30 and 217,155.38

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Solution

The fourth proportional to 386,954.06, 533,967.30 and 217,155.38 is: 299,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,954.06 : 533,967.30 = 217,155.38 : x
  2. Step 2: Convert to fraction form
    386,954.06/533,967.30 = 217,155.38/x
  3. Step 3: Cross multiply
    386,954.06x = 533,967.30 × 217,155.38
  4. Step 4: Simplify right side
    386,954.06x = 115,953,869,269.24
  5. Step 5: Solve for x
    x = 115,953,869,269.24/386,954.06
  6. Step 6: Final answer
    x = 299,657.98

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Why These Related Problems?

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