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Finding the Fourth Proportional to 532,258.07, 734,406.45 and 305,859.83

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Solution

The fourth proportional to 532,258.07, 734,406.45 and 305,859.83 is: 422,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,258.07 : 734,406.45 = 305,859.83 : x
  2. Step 2: Convert to fraction form
    532,258.07/734,406.45 = 305,859.83/x
  3. Step 3: Cross multiply
    532,258.07x = 734,406.45 × 305,859.83
  4. Step 4: Simplify right side
    532,258.07x = 224,625,431,947.90
  5. Step 5: Solve for x
    x = 224,625,431,947.90/532,258.07
  6. Step 6: Final answer
    x = 422,023.53

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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.