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Finding the Fourth Proportional to 361,570.10, 542,441.55 and 174,427.70

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Solution

The fourth proportional to 361,570.10, 542,441.55 and 174,427.70 is: 261,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,570.10 : 542,441.55 = 174,427.70 : x
  2. Step 2: Convert to fraction form
    361,570.10/542,441.55 = 174,427.70/x
  3. Step 3: Cross multiply
    361,570.10x = 542,441.55 × 174,427.70
  4. Step 4: Simplify right side
    361,570.10x = 94,616,831,950.94
  5. Step 5: Solve for x
    x = 94,616,831,950.94/361,570.10
  6. Step 6: Final answer
    x = 261,683.23

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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.