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Finding the Fourth Proportional to 543,230.52, 749,644.11 and 301,506

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Solution

The fourth proportional to 543,230.52, 749,644.11 and 301,506 is: 416,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,230.52 : 749,644.11 = 301,506 : x
  2. Step 2: Convert to fraction form
    543,230.52/749,644.11 = 301,506/x
  3. Step 3: Cross multiply
    543,230.52x = 749,644.11 × 301,506
  4. Step 4: Simplify right side
    543,230.52x = 226,022,197,029.66
  5. Step 5: Solve for x
    x = 226,022,197,029.66/543,230.52
  6. Step 6: Final answer
    x = 416,070.51

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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.