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Finding the Fourth Proportional to 525,812.22, 788,402.42 and 205,582.56

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Solution

The fourth proportional to 525,812.22, 788,402.42 and 205,582.56 is: 308,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,812.22 : 788,402.42 = 205,582.56 : x
  2. Step 2: Convert to fraction form
    525,812.22/788,402.42 = 205,582.56/x
  3. Step 3: Cross multiply
    525,812.22x = 788,402.42 × 205,582.56
  4. Step 4: Simplify right side
    525,812.22x = 162,081,787,813.80
  5. Step 5: Solve for x
    x = 162,081,787,813.80/525,812.22
  6. Step 6: Final answer
    x = 308,250.33

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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.