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Finding the Fourth Proportional to 361,502.58, 542,261.07 and 254,448.66

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Solution

The fourth proportional to 361,502.58, 542,261.07 and 254,448.66 is: 381,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,502.58 : 542,261.07 = 254,448.66 : x
  2. Step 2: Convert to fraction form
    361,502.58/542,261.07 = 254,448.66/x
  3. Step 3: Cross multiply
    361,502.58x = 542,261.07 × 254,448.66
  4. Step 4: Simplify right side
    361,502.58x = 137,977,602,631.67
  5. Step 5: Solve for x
    x = 137,977,602,631.67/361,502.58
  6. Step 6: Final answer
    x = 381,678.06

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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.