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Finding the Fourth Proportional to 532,221, 734,588.37 and 350,965.68

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Solution

The fourth proportional to 532,221, 734,588.37 and 350,965.68 is: 484,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,221 : 734,588.37 = 350,965.68 : x
  2. Step 2: Convert to fraction form
    532,221/734,588.37 = 350,965.68/x
  3. Step 3: Cross multiply
    532,221x = 734,588.37 × 350,965.68
  4. Step 4: Simplify right side
    532,221x = 257,815,306,797.14
  5. Step 5: Solve for x
    x = 257,815,306,797.14/532,221
  6. Step 6: Final answer
    x = 484,414.01

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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.