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Finding the Fourth Proportional to 477,210.22, 715,704.63 and 210,825.52

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Solution

The fourth proportional to 477,210.22, 715,704.63 and 210,825.52 is: 316,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,210.22 : 715,704.63 = 210,825.52 : x
  2. Step 2: Convert to fraction form
    477,210.22/715,704.63 = 210,825.52/x
  3. Step 3: Cross multiply
    477,210.22x = 715,704.63 × 210,825.52
  4. Step 4: Simplify right side
    477,210.22x = 150,888,800,786.16
  5. Step 5: Solve for x
    x = 150,888,800,786.16/477,210.22
  6. Step 6: Final answer
    x = 316,189.37

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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.