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Finding the Fourth Proportional to 587,904.24, 811,321.20 and 319,632.24

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Solution

The fourth proportional to 587,904.24, 811,321.20 and 319,632.24 is: 441,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,904.24 : 811,321.20 = 319,632.24 : x
  2. Step 2: Convert to fraction form
    587,904.24/811,321.20 = 319,632.24/x
  3. Step 3: Cross multiply
    587,904.24x = 811,321.20 × 319,632.24
  4. Step 4: Simplify right side
    587,904.24x = 259,324,412,515.49
  5. Step 5: Solve for x
    x = 259,324,412,515.49/587,904.24
  6. Step 6: Final answer
    x = 441,099.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.