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Finding the Fourth Proportional to 265,214.95, 397,505.98 and 184,817.41

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Solution

The fourth proportional to 265,214.95, 397,505.98 and 184,817.41 is: 277,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,214.95 : 397,505.98 = 184,817.41 : x
  2. Step 2: Convert to fraction form
    265,214.95/397,505.98 = 184,817.41/x
  3. Step 3: Cross multiply
    265,214.95x = 397,505.98 × 184,817.41
  4. Step 4: Simplify right side
    265,214.95x = 73,466,025,683.11
  5. Step 5: Solve for x
    x = 73,466,025,683.11/265,214.95
  6. Step 6: Final answer
    x = 277,005.60

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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.