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Finding the Fourth Proportional to 297,970.93, 447,237.29 and 108,614.32

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Solution

The fourth proportional to 297,970.93, 447,237.29 and 108,614.32 is: 163,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,970.93 : 447,237.29 = 108,614.32 : x
  2. Step 2: Convert to fraction form
    297,970.93/447,237.29 = 108,614.32/x
  3. Step 3: Cross multiply
    297,970.93x = 447,237.29 × 108,614.32
  4. Step 4: Simplify right side
    297,970.93x = 48,576,374,131.99
  5. Step 5: Solve for x
    x = 48,576,374,131.99/297,970.93
  6. Step 6: Final answer
    x = 163,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.