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Finding the Fourth Proportional to 386,907.30, 533,927.70 and 217,137.78

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Solution

The fourth proportional to 386,907.30, 533,927.70 and 217,137.78 is: 299,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,907.30 : 533,927.70 = 217,137.78 : x
  2. Step 2: Convert to fraction form
    386,907.30/533,927.70 = 217,137.78/x
  3. Step 3: Cross multiply
    386,907.30x = 533,927.70 × 217,137.78
  4. Step 4: Simplify right side
    386,907.30x = 115,935,875,458.51
  5. Step 5: Solve for x
    x = 115,935,875,458.51/386,907.30
  6. Step 6: Final answer
    x = 299,647.68

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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.