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Finding the Fourth Proportional to 541,120.64, 746,678.98 and 299,369.66

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Solution

The fourth proportional to 541,120.64, 746,678.98 and 299,369.66 is: 413,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,120.64 : 746,678.98 = 299,369.66 : x
  2. Step 2: Convert to fraction form
    541,120.64/746,678.98 = 299,369.66/x
  3. Step 3: Cross multiply
    541,120.64x = 746,678.98 × 299,369.66
  4. Step 4: Simplify right side
    541,120.64x = 223,533,033,490.02
  5. Step 5: Solve for x
    x = 223,533,033,490.02/541,120.64
  6. Step 6: Final answer
    x = 413,092.79

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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.