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Finding the Fourth Proportional to 233,049.60, 321,638.40 and 157,593.60

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Solution

The fourth proportional to 233,049.60, 321,638.40 and 157,593.60 is: 217,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,049.60 : 321,638.40 = 157,593.60 : x
  2. Step 2: Convert to fraction form
    233,049.60/321,638.40 = 157,593.60/x
  3. Step 3: Cross multiply
    233,049.60x = 321,638.40 × 157,593.60
  4. Step 4: Simplify right side
    233,049.60x = 50,688,153,354.24
  5. Step 5: Solve for x
    x = 50,688,153,354.24/233,049.60
  6. Step 6: Final answer
    x = 217,499.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.