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Finding the Fourth Proportional to 429,096.40, 643,853.66 and 176,452.80

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Solution

The fourth proportional to 429,096.40, 643,853.66 and 176,452.80 is: 264,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,096.40 : 643,853.66 = 176,452.80 : x
  2. Step 2: Convert to fraction form
    429,096.40/643,853.66 = 176,452.80/x
  3. Step 3: Cross multiply
    429,096.40x = 643,853.66 × 176,452.80
  4. Step 4: Simplify right side
    429,096.40x = 113,609,778,793.08
  5. Step 5: Solve for x
    x = 113,609,778,793.08/429,096.40
  6. Step 6: Final answer
    x = 264,765.16

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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.