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Finding the Fourth Proportional to 297,987.35, 446,971.11 and 129,507.84

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Solution

The fourth proportional to 297,987.35, 446,971.11 and 129,507.84 is: 194,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,987.35 : 446,971.11 = 129,507.84 : x
  2. Step 2: Convert to fraction form
    297,987.35/446,971.11 = 129,507.84/x
  3. Step 3: Cross multiply
    297,987.35x = 446,971.11 × 129,507.84
  4. Step 4: Simplify right side
    297,987.35x = 57,886,262,998.50
  5. Step 5: Solve for x
    x = 57,886,262,998.50/297,987.35
  6. Step 6: Final answer
    x = 194,257.45

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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.