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Finding the Fourth Proportional to 385,051.96, 577,676.46 and 148,331.08

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Solution

The fourth proportional to 385,051.96, 577,676.46 and 148,331.08 is: 222,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,051.96 : 577,676.46 = 148,331.08 : x
  2. Step 2: Convert to fraction form
    385,051.96/577,676.46 = 148,331.08/x
  3. Step 3: Cross multiply
    385,051.96x = 577,676.46 × 148,331.08
  4. Step 4: Simplify right side
    385,051.96x = 85,687,373,202.38
  5. Step 5: Solve for x
    x = 85,687,373,202.38/385,051.96
  6. Step 6: Final answer
    x = 222,534.57

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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.