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Finding the Fourth Proportional to 532,915.21, 735,414.21 and 291,192.58

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Solution

The fourth proportional to 532,915.21, 735,414.21 and 291,192.58 is: 401,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,915.21 : 735,414.21 = 291,192.58 : x
  2. Step 2: Convert to fraction form
    532,915.21/735,414.21 = 291,192.58/x
  3. Step 3: Cross multiply
    532,915.21x = 735,414.21 × 291,192.58
  4. Step 4: Simplify right side
    532,915.21x = 214,147,161,178.56
  5. Step 5: Solve for x
    x = 214,147,161,178.56/532,915.21
  6. Step 6: Final answer
    x = 401,840.96

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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.