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Finding the Fourth Proportional to 324,294.72, 486,741.09 and 164,482.80

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Solution

The fourth proportional to 324,294.72, 486,741.09 and 164,482.80 is: 246,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,294.72 : 486,741.09 = 164,482.80 : x
  2. Step 2: Convert to fraction form
    324,294.72/486,741.09 = 164,482.80/x
  3. Step 3: Cross multiply
    324,294.72x = 486,741.09 × 164,482.80
  4. Step 4: Simplify right side
    324,294.72x = 80,060,537,358.25
  5. Step 5: Solve for x
    x = 80,060,537,358.25/324,294.72
  6. Step 6: Final answer
    x = 246,875.86

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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.