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Finding the Fourth Proportional to 339,345.35, 508,242.85 and 161,977.22

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Solution

The fourth proportional to 339,345.35, 508,242.85 and 161,977.22 is: 242,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,345.35 : 508,242.85 = 161,977.22 : x
  2. Step 2: Convert to fraction form
    339,345.35/508,242.85 = 161,977.22/x
  3. Step 3: Cross multiply
    339,345.35x = 508,242.85 × 161,977.22
  4. Step 4: Simplify right side
    339,345.35x = 82,323,763,927.88
  5. Step 5: Solve for x
    x = 82,323,763,927.88/339,345.35
  6. Step 6: Final answer
    x = 242,595.82

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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.