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Finding the Fourth Proportional to 532,093.14, 734,304.02 and 290,391.27

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Solution

The fourth proportional to 532,093.14, 734,304.02 and 290,391.27 is: 400,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,093.14 : 734,304.02 = 290,391.27 : x
  2. Step 2: Convert to fraction form
    532,093.14/734,304.02 = 290,391.27/x
  3. Step 3: Cross multiply
    532,093.14x = 734,304.02 × 290,391.27
  4. Step 4: Simplify right side
    532,093.14x = 213,235,476,933.91
  5. Step 5: Solve for x
    x = 213,235,476,933.91/532,093.14
  6. Step 6: Final answer
    x = 400,748.40

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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.