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Finding the Fourth Proportional to 233,047.70, 349,834.35 and 154,315.70

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Solution

The fourth proportional to 233,047.70, 349,834.35 and 154,315.70 is: 231,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,047.70 : 349,834.35 = 154,315.70 : x
  2. Step 2: Convert to fraction form
    233,047.70/349,834.35 = 154,315.70/x
  3. Step 3: Cross multiply
    233,047.70x = 349,834.35 × 154,315.70
  4. Step 4: Simplify right side
    233,047.70x = 53,984,932,604.30
  5. Step 5: Solve for x
    x = 53,984,932,604.30/233,047.70
  6. Step 6: Final answer
    x = 231,647.57

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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.