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Finding the Fourth Proportional to 377,284.68, 520,726.80 and 216,247.66

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Solution

The fourth proportional to 377,284.68, 520,726.80 and 216,247.66 is: 298,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,284.68 : 520,726.80 = 216,247.66 : x
  2. Step 2: Convert to fraction form
    377,284.68/520,726.80 = 216,247.66/x
  3. Step 3: Cross multiply
    377,284.68x = 520,726.80 × 216,247.66
  4. Step 4: Simplify right side
    377,284.68x = 112,605,951,999.29
  5. Step 5: Solve for x
    x = 112,605,951,999.29/377,284.68
  6. Step 6: Final answer
    x = 298,464.15

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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.