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Finding the Fourth Proportional to 285,114.44, 393,423.46 and 157,782.44

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Solution

The fourth proportional to 285,114.44, 393,423.46 and 157,782.44 is: 217,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,114.44 : 393,423.46 = 157,782.44 : x
  2. Step 2: Convert to fraction form
    285,114.44/393,423.46 = 157,782.44/x
  3. Step 3: Cross multiply
    285,114.44x = 393,423.46 × 157,782.44
  4. Step 4: Simplify right side
    285,114.44x = 62,075,313,472.04
  5. Step 5: Solve for x
    x = 62,075,313,472.04/285,114.44
  6. Step 6: Final answer
    x = 217,720.69

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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.