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Finding the Fourth Proportional to 532,046.44, 734,201.24 and 290,323

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Solution

The fourth proportional to 532,046.44, 734,201.24 and 290,323 is: 400,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,046.44 : 734,201.24 = 290,323 : x
  2. Step 2: Convert to fraction form
    532,046.44/734,201.24 = 290,323/x
  3. Step 3: Cross multiply
    532,046.44x = 734,201.24 × 290,323
  4. Step 4: Simplify right side
    532,046.44x = 213,155,506,600.52
  5. Step 5: Solve for x
    x = 213,155,506,600.52/532,046.44
  6. Step 6: Final answer
    x = 400,633.27

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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.