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Finding the Fourth Proportional to 532,254.07, 734,400.96 and 305,855.83

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Solution

The fourth proportional to 532,254.07, 734,400.96 and 305,855.83 is: 422,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,254.07 : 734,400.96 = 305,855.83 : x
  2. Step 2: Convert to fraction form
    532,254.07/734,400.96 = 305,855.83/x
  3. Step 3: Cross multiply
    532,254.07x = 734,400.96 × 305,855.83
  4. Step 4: Simplify right side
    532,254.07x = 224,620,815,173.60
  5. Step 5: Solve for x
    x = 224,620,815,173.60/532,254.07
  6. Step 6: Final answer
    x = 422,018.03

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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.