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Finding the Fourth Proportional to 532,563.05, 734,904.50 and 290,796.48

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Solution

The fourth proportional to 532,563.05, 734,904.50 and 290,796.48 is: 401,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,563.05 : 734,904.50 = 290,796.48 : x
  2. Step 2: Convert to fraction form
    532,563.05/734,904.50 = 290,796.48/x
  3. Step 3: Cross multiply
    532,563.05x = 734,904.50 × 290,796.48
  4. Step 4: Simplify right side
    532,563.05x = 213,707,640,282.18
  5. Step 5: Solve for x
    x = 213,707,640,282.18/532,563.05
  6. Step 6: Final answer
    x = 401,281.39

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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.