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Finding the Fourth Proportional to 332,814.80, 499,265.40 and 164,421.20

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Solution

The fourth proportional to 332,814.80, 499,265.40 and 164,421.20 is: 246,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,814.80 : 499,265.40 = 164,421.20 : x
  2. Step 2: Convert to fraction form
    332,814.80/499,265.40 = 164,421.20/x
  3. Step 3: Cross multiply
    332,814.80x = 499,265.40 × 164,421.20
  4. Step 4: Simplify right side
    332,814.80x = 82,089,816,186.48
  5. Step 5: Solve for x
    x = 82,089,816,186.48/332,814.80
  6. Step 6: Final answer
    x = 246,653.14

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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.