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Finding the Fourth Proportional to 532,048.44, 734,204 and 290,325

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Solution

The fourth proportional to 532,048.44, 734,204 and 290,325 is: 400,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,048.44 : 734,204 = 290,325 : x
  2. Step 2: Convert to fraction form
    532,048.44/734,204 = 290,325/x
  3. Step 3: Cross multiply
    532,048.44x = 734,204 × 290,325
  4. Step 4: Simplify right side
    532,048.44x = 213,157,776,300
  5. Step 5: Solve for x
    x = 213,157,776,300/532,048.44
  6. Step 6: Final answer
    x = 400,636.03

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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.