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Finding the Fourth Proportional to 532,168.35, 734,408.28 and 290,466.78

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Solution

The fourth proportional to 532,168.35, 734,408.28 and 290,466.78 is: 400,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,168.35 : 734,408.28 = 290,466.78 : x
  2. Step 2: Convert to fraction form
    532,168.35/734,408.28 = 290,466.78/x
  3. Step 3: Cross multiply
    532,168.35x = 734,408.28 × 290,466.78
  4. Step 4: Simplify right side
    532,168.35x = 213,321,208,296.94
  5. Step 5: Solve for x
    x = 213,321,208,296.94/532,168.35
  6. Step 6: Final answer
    x = 400,852.87

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1.5x scale

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.