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Finding the Fourth Proportional to 233,503.30, 349,736.55 and 202,399.30

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Solution

The fourth proportional to 233,503.30, 349,736.55 and 202,399.30 is: 303,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,503.30 : 349,736.55 = 202,399.30 : x
  2. Step 2: Convert to fraction form
    233,503.30/349,736.55 = 202,399.30/x
  3. Step 3: Cross multiply
    233,503.30x = 349,736.55 × 202,399.30
  4. Step 4: Simplify right side
    233,503.30x = 70,786,432,904.42
  5. Step 5: Solve for x
    x = 70,786,432,904.42/233,503.30
  6. Step 6: Final answer
    x = 303,149.60

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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.