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Finding the Fourth Proportional to 532,107.64, 734,324.11 and 290,405.72

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Solution

The fourth proportional to 532,107.64, 734,324.11 and 290,405.72 is: 400,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,107.64 : 734,324.11 = 290,405.72 : x
  2. Step 2: Convert to fraction form
    532,107.64/734,324.11 = 290,405.72/x
  3. Step 3: Cross multiply
    532,107.64x = 734,324.11 × 290,405.72
  4. Step 4: Simplify right side
    532,107.64x = 213,251,918,206.29
  5. Step 5: Solve for x
    x = 213,251,918,206.29/532,107.64
  6. Step 6: Final answer
    x = 400,768.38

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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.