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Finding the Fourth Proportional to 532,122.14, 734,344.13 and 290,420.22

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Solution

The fourth proportional to 532,122.14, 734,344.13 and 290,420.22 is: 400,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,122.14 : 734,344.13 = 290,420.22 : x
  2. Step 2: Convert to fraction form
    532,122.14/734,344.13 = 290,420.22/x
  3. Step 3: Cross multiply
    532,122.14x = 734,344.13 × 290,420.22
  4. Step 4: Simplify right side
    532,122.14x = 213,268,382,338.21
  5. Step 5: Solve for x
    x = 213,268,382,338.21/532,122.14
  6. Step 6: Final answer
    x = 400,788.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.