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Finding the Fourth Proportional to 227,435.20, 341,152.80 and 174,947.20

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Solution

The fourth proportional to 227,435.20, 341,152.80 and 174,947.20 is: 262,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,435.20 : 341,152.80 = 174,947.20 : x
  2. Step 2: Convert to fraction form
    227,435.20/341,152.80 = 174,947.20/x
  3. Step 3: Cross multiply
    227,435.20x = 341,152.80 × 174,947.20
  4. Step 4: Simplify right side
    227,435.20x = 59,683,727,132.16
  5. Step 5: Solve for x
    x = 59,683,727,132.16/227,435.20
  6. Step 6: Final answer
    x = 262,420.80

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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.