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Finding the Fourth Proportional to 532,424.32, 734,755.79 and 290,716.47

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Solution

The fourth proportional to 532,424.32, 734,755.79 and 290,716.47 is: 401,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,424.32 : 734,755.79 = 290,716.47 : x
  2. Step 2: Convert to fraction form
    532,424.32/734,755.79 = 290,716.47/x
  3. Step 3: Cross multiply
    532,424.32x = 734,755.79 × 290,716.47
  4. Step 4: Simplify right side
    532,424.32x = 213,605,609,580.86
  5. Step 5: Solve for x
    x = 213,605,609,580.86/532,424.32
  6. Step 6: Final answer
    x = 401,194.31

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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.