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Finding the Fourth Proportional to 543,224.28, 749,643.86 and 301,508.96

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Solution

The fourth proportional to 543,224.28, 749,643.86 and 301,508.96 is: 416,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,224.28 : 749,643.86 = 301,508.96 : x
  2. Step 2: Convert to fraction form
    543,224.28/749,643.86 = 301,508.96/x
  3. Step 3: Cross multiply
    543,224.28x = 749,643.86 × 301,508.96
  4. Step 4: Simplify right side
    543,224.28x = 226,024,340,598.99
  5. Step 5: Solve for x
    x = 226,024,340,598.99/543,224.28
  6. Step 6: Final answer
    x = 416,079.23

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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.