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Finding the Fourth Proportional to 532,564.61, 734,952.11 and 290,845.22

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Solution

The fourth proportional to 532,564.61, 734,952.11 and 290,845.22 is: 401,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,564.61 : 734,952.11 = 290,845.22 : x
  2. Step 2: Convert to fraction form
    532,564.61/734,952.11 = 290,845.22/x
  3. Step 3: Cross multiply
    532,564.61x = 734,952.11 × 290,845.22
  4. Step 4: Simplify right side
    532,564.61x = 213,757,302,993.43
  5. Step 5: Solve for x
    x = 213,757,302,993.43/532,564.61
  6. Step 6: Final answer
    x = 401,373.47

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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.