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Finding the Fourth Proportional to 293,595.74, 405,137.37 and 162,776.89

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Solution

The fourth proportional to 293,595.74, 405,137.37 and 162,776.89 is: 224,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,595.74 : 405,137.37 = 162,776.89 : x
  2. Step 2: Convert to fraction form
    293,595.74/405,137.37 = 162,776.89/x
  3. Step 3: Cross multiply
    293,595.74x = 405,137.37 × 162,776.89
  4. Step 4: Simplify right side
    293,595.74x = 65,947,001,111.38
  5. Step 5: Solve for x
    x = 65,947,001,111.38/293,595.74
  6. Step 6: Final answer
    x = 224,618.39

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Why These Related Problems?

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