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Finding the Fourth Proportional to 337,643.64, 464,956.20 and 301,820.58

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Solution

The fourth proportional to 337,643.64, 464,956.20 and 301,820.58 is: 415,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.64 : 464,956.20 = 301,820.58 : x
  2. Step 2: Convert to fraction form
    337,643.64/464,956.20 = 301,820.58/x
  3. Step 3: Cross multiply
    337,643.64x = 464,956.20 × 301,820.58
  4. Step 4: Simplify right side
    337,643.64x = 140,333,349,958.60
  5. Step 5: Solve for x
    x = 140,333,349,958.60/337,643.64
  6. Step 6: Final answer
    x = 415,625.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.