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Finding the Fourth Proportional to 513,404.01, 769,908.78 and 176,381.64

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Solution

The fourth proportional to 513,404.01, 769,908.78 and 176,381.64 is: 264,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,404.01 : 769,908.78 = 176,381.64 : x
  2. Step 2: Convert to fraction form
    513,404.01/769,908.78 = 176,381.64/x
  3. Step 3: Cross multiply
    513,404.01x = 769,908.78 × 176,381.64
  4. Step 4: Simplify right side
    513,404.01x = 135,797,773,266.80
  5. Step 5: Solve for x
    x = 135,797,773,266.80/513,404.01
  6. Step 6: Final answer
    x = 264,504.70

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1.5x scale

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.