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Finding the Fourth Proportional to 532,195.97, 734,430.20 and 290,478.52

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Solution

The fourth proportional to 532,195.97, 734,430.20 and 290,478.52 is: 400,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,195.97 : 734,430.20 = 290,478.52 : x
  2. Step 2: Convert to fraction form
    532,195.97/734,430.20 = 290,478.52/x
  3. Step 3: Cross multiply
    532,195.97x = 734,430.20 × 290,478.52
  4. Step 4: Simplify right side
    532,195.97x = 213,336,194,977.03
  5. Step 5: Solve for x
    x = 213,336,194,977.03/532,195.97
  6. Step 6: Final answer
    x = 400,860.22

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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.