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Finding the Fourth Proportional to 309,235.72, 463,321.03 and 241,741.50

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Solution

The fourth proportional to 309,235.72, 463,321.03 and 241,741.50 is: 362,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,235.72 : 463,321.03 = 241,741.50 : x
  2. Step 2: Convert to fraction form
    309,235.72/463,321.03 = 241,741.50/x
  3. Step 3: Cross multiply
    309,235.72x = 463,321.03 × 241,741.50
  4. Step 4: Simplify right side
    309,235.72x = 112,003,920,773.75
  5. Step 5: Solve for x
    x = 112,003,920,773.75/309,235.72
  6. Step 6: Final answer
    x = 362,195.94

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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.