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Finding the Fourth Proportional to 293,598.87, 405,141.69 and 162,780.01

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Solution

The fourth proportional to 293,598.87, 405,141.69 and 162,780.01 is: 224,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,598.87 : 405,141.69 = 162,780.01 : x
  2. Step 2: Convert to fraction form
    293,598.87/405,141.69 = 162,780.01/x
  3. Step 3: Cross multiply
    293,598.87x = 405,141.69 × 162,780.01
  4. Step 4: Simplify right side
    293,598.87x = 65,948,968,349.62
  5. Step 5: Solve for x
    x = 65,948,968,349.62/293,598.87
  6. Step 6: Final answer
    x = 224,622.69

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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.