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Finding the Fourth Proportional to 361,464.40, 542,099.40 and 151,058.80

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Solution

The fourth proportional to 361,464.40, 542,099.40 and 151,058.80 is: 226,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,464.40 : 542,099.40 = 151,058.80 : x
  2. Step 2: Convert to fraction form
    361,464.40/542,099.40 = 151,058.80/x
  3. Step 3: Cross multiply
    361,464.40x = 542,099.40 × 151,058.80
  4. Step 4: Simplify right side
    361,464.40x = 81,888,884,844.72
  5. Step 5: Solve for x
    x = 81,888,884,844.72/361,464.40
  6. Step 6: Final answer
    x = 226,547.58

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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.