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Finding the Fourth Proportional to 297,649.65, 446,333.64 and 115,365.84

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Solution

The fourth proportional to 297,649.65, 446,333.64 and 115,365.84 is: 172,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,649.65 : 446,333.64 = 115,365.84 : x
  2. Step 2: Convert to fraction form
    297,649.65/446,333.64 = 115,365.84/x
  3. Step 3: Cross multiply
    297,649.65x = 446,333.64 × 115,365.84
  4. Step 4: Simplify right side
    297,649.65x = 51,491,655,298.86
  5. Step 5: Solve for x
    x = 51,491,655,298.86/297,649.65
  6. Step 6: Final answer
    x = 172,994.17

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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.