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Finding the Fourth Proportional to 213,817.48, 320,504.76 and 175,980

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Solution

The fourth proportional to 213,817.48, 320,504.76 and 175,980 is: 263,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,817.48 : 320,504.76 = 175,980 : x
  2. Step 2: Convert to fraction form
    213,817.48/320,504.76 = 175,980/x
  3. Step 3: Cross multiply
    213,817.48x = 320,504.76 × 175,980
  4. Step 4: Simplify right side
    213,817.48x = 56,402,427,664.80
  5. Step 5: Solve for x
    x = 56,402,427,664.80/213,817.48
  6. Step 6: Final answer
    x = 263,787.73

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1.5x scale

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.