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Finding the Fourth Proportional to 532,600.86, 734,891.01 and 314,844.66

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Solution

The fourth proportional to 532,600.86, 734,891.01 and 314,844.66 is: 434,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,600.86 : 734,891.01 = 314,844.66 : x
  2. Step 2: Convert to fraction form
    532,600.86/734,891.01 = 314,844.66/x
  3. Step 3: Cross multiply
    532,600.86x = 734,891.01 × 314,844.66
  4. Step 4: Simplify right side
    532,600.86x = 231,376,510,180.51
  5. Step 5: Solve for x
    x = 231,376,510,180.51/532,600.86
  6. Step 6: Final answer
    x = 434,427.59

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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.