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Finding the Fourth Proportional to 532,067.13, 734,192.51 and 305,785.53

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Solution

The fourth proportional to 532,067.13, 734,192.51 and 305,785.53 is: 421,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,067.13 : 734,192.51 = 305,785.53 : x
  2. Step 2: Convert to fraction form
    532,067.13/734,192.51 = 305,785.53/x
  3. Step 3: Cross multiply
    532,067.13x = 734,192.51 × 305,785.53
  4. Step 4: Simplify right side
    532,067.13x = 224,505,444,263.45
  5. Step 5: Solve for x
    x = 224,505,444,263.45/532,067.13
  6. Step 6: Final answer
    x = 421,949.47

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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.