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Finding the Fourth Proportional to 532,054.44, 734,212.28 and 290,331

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Solution

The fourth proportional to 532,054.44, 734,212.28 and 290,331 is: 400,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,054.44 : 734,212.28 = 290,331 : x
  2. Step 2: Convert to fraction form
    532,054.44/734,212.28 = 290,331/x
  3. Step 3: Cross multiply
    532,054.44x = 734,212.28 × 290,331
  4. Step 4: Simplify right side
    532,054.44x = 213,164,585,464.68
  5. Step 5: Solve for x
    x = 213,164,585,464.68/532,054.44
  6. Step 6: Final answer
    x = 400,644.31

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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.