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Finding the Fourth Proportional to 329,044.81, 493,771.35 and 151,577.05

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Solution

The fourth proportional to 329,044.81, 493,771.35 and 151,577.05 is: 227,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,044.81 : 493,771.35 = 151,577.05 : x
  2. Step 2: Convert to fraction form
    329,044.81/493,771.35 = 151,577.05/x
  3. Step 3: Cross multiply
    329,044.81x = 493,771.35 × 151,577.05
  4. Step 4: Simplify right side
    329,044.81x = 74,844,404,607.52
  5. Step 5: Solve for x
    x = 74,844,404,607.52/329,044.81
  6. Step 6: Final answer
    x = 227,459.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.