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Finding the Fourth Proportional to 541,442.64, 747,181.80 and 299,720.10

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Solution

The fourth proportional to 541,442.64, 747,181.80 and 299,720.10 is: 413,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,442.64 : 747,181.80 = 299,720.10 : x
  2. Step 2: Convert to fraction form
    541,442.64/747,181.80 = 299,720.10/x
  3. Step 3: Cross multiply
    541,442.64x = 747,181.80 × 299,720.10
  4. Step 4: Simplify right side
    541,442.64x = 223,945,403,814.18
  5. Step 5: Solve for x
    x = 223,945,403,814.18/541,442.64
  6. Step 6: Final answer
    x = 413,608.73

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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.