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Finding the Fourth Proportional to 532,026.11, 734,197.94 and 290,314.01

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Solution

The fourth proportional to 532,026.11, 734,197.94 and 290,314.01 is: 400,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,026.11 : 734,197.94 = 290,314.01 : x
  2. Step 2: Convert to fraction form
    532,026.11/734,197.94 = 290,314.01/x
  3. Step 3: Cross multiply
    532,026.11x = 734,197.94 × 290,314.01
  4. Step 4: Simplify right side
    532,026.11x = 213,147,948,095.14
  5. Step 5: Solve for x
    x = 213,147,948,095.14/532,026.11
  6. Step 6: Final answer
    x = 400,634.38

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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.