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Finding the Fourth Proportional to 471,532.86, 650,523.15 and 290,190.06

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Solution

The fourth proportional to 471,532.86, 650,523.15 and 290,190.06 is: 400,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,532.86 : 650,523.15 = 290,190.06 : x
  2. Step 2: Convert to fraction form
    471,532.86/650,523.15 = 290,190.06/x
  3. Step 3: Cross multiply
    471,532.86x = 650,523.15 × 290,190.06
  4. Step 4: Simplify right side
    471,532.86x = 188,775,351,929.89
  5. Step 5: Solve for x
    x = 188,775,351,929.89/471,532.86
  6. Step 6: Final answer
    x = 400,344.00

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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.