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Finding the Fourth Proportional to 364,243.16, 546,364.78 and 195,842.81

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Solution

The fourth proportional to 364,243.16, 546,364.78 and 195,842.81 is: 293,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,243.16 : 546,364.78 = 195,842.81 : x
  2. Step 2: Convert to fraction form
    364,243.16/546,364.78 = 195,842.81/x
  3. Step 3: Cross multiply
    364,243.16x = 546,364.78 × 195,842.81
  4. Step 4: Simplify right side
    364,243.16x = 107,001,614,676.54
  5. Step 5: Solve for x
    x = 107,001,614,676.54/364,243.16
  6. Step 6: Final answer
    x = 293,764.24

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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.