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Finding the Fourth Proportional to 473,814.72, 711,002.07 and 174,505.68

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Solution

The fourth proportional to 473,814.72, 711,002.07 and 174,505.68 is: 261,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,814.72 : 711,002.07 = 174,505.68 : x
  2. Step 2: Convert to fraction form
    473,814.72/711,002.07 = 174,505.68/x
  3. Step 3: Cross multiply
    473,814.72x = 711,002.07 × 174,505.68
  4. Step 4: Simplify right side
    473,814.72x = 124,073,899,706.76
  5. Step 5: Solve for x
    x = 124,073,899,706.76/473,814.72
  6. Step 6: Final answer
    x = 261,861.64

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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.