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Finding the Fourth Proportional to 361,654.21, 541,417.13 and 241,412.92

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Solution

The fourth proportional to 361,654.21, 541,417.13 and 241,412.92 is: 361,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,654.21 : 541,417.13 = 241,412.92 : x
  2. Step 2: Convert to fraction form
    361,654.21/541,417.13 = 241,412.92/x
  3. Step 3: Cross multiply
    361,654.21x = 541,417.13 × 241,412.92
  4. Step 4: Simplify right side
    361,654.21x = 130,705,089,541.31
  5. Step 5: Solve for x
    x = 130,705,089,541.31/361,654.21
  6. Step 6: Final answer
    x = 361,409.01

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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.