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Finding the Fourth Proportional to 532,978.44, 735,519.87 and 291,271.20

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Solution

The fourth proportional to 532,978.44, 735,519.87 and 291,271.20 is: 401,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,978.44 : 735,519.87 = 291,271.20 : x
  2. Step 2: Convert to fraction form
    532,978.44/735,519.87 = 291,271.20/x
  3. Step 3: Cross multiply
    532,978.44x = 735,519.87 × 291,271.20
  4. Step 4: Simplify right side
    532,978.44x = 214,235,755,158.74
  5. Step 5: Solve for x
    x = 214,235,755,158.74/532,978.44
  6. Step 6: Final answer
    x = 401,959.51

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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.