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Finding the Fourth Proportional to 532,057.21, 734,254.57 and 290,355.38

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Solution

The fourth proportional to 532,057.21, 734,254.57 and 290,355.38 is: 400,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,057.21 : 734,254.57 = 290,355.38 : x
  2. Step 2: Convert to fraction form
    532,057.21/734,254.57 = 290,355.38/x
  3. Step 3: Cross multiply
    532,057.21x = 734,254.57 × 290,355.38
  4. Step 4: Simplify right side
    532,057.21x = 213,194,764,689.09
  5. Step 5: Solve for x
    x = 213,194,764,689.09/532,057.21
  6. Step 6: Final answer
    x = 400,698.95

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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.