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Finding the Fourth Proportional to 536,034.24, 807,261.84 and 488,204.16

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Solution

The fourth proportional to 536,034.24, 807,261.84 and 488,204.16 is: 735,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,034.24 : 807,261.84 = 488,204.16 : x
  2. Step 2: Convert to fraction form
    536,034.24/807,261.84 = 488,204.16/x
  3. Step 3: Cross multiply
    536,034.24x = 807,261.84 × 488,204.16
  4. Step 4: Simplify right side
    536,034.24x = 394,108,588,497.25
  5. Step 5: Solve for x
    x = 394,108,588,497.25/536,034.24
  6. Step 6: Final answer
    x = 735,230.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.