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Finding the Fourth Proportional to 522,242.34, 783,319.77 and 206,614.50

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Solution

The fourth proportional to 522,242.34, 783,319.77 and 206,614.50 is: 309,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,242.34 : 783,319.77 = 206,614.50 : x
  2. Step 2: Convert to fraction form
    522,242.34/783,319.77 = 206,614.50/x
  3. Step 3: Cross multiply
    522,242.34x = 783,319.77 × 206,614.50
  4. Step 4: Simplify right side
    522,242.34x = 161,845,222,618.67
  5. Step 5: Solve for x
    x = 161,845,222,618.67/522,242.34
  6. Step 6: Final answer
    x = 309,904.45

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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.