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Finding the Fourth Proportional to 285,174.84, 393,500.06 and 157,850.14

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Solution

The fourth proportional to 285,174.84, 393,500.06 and 157,850.14 is: 217,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,174.84 : 393,500.06 = 157,850.14 : x
  2. Step 2: Convert to fraction form
    285,174.84/393,500.06 = 157,850.14/x
  3. Step 3: Cross multiply
    285,174.84x = 393,500.06 × 157,850.14
  4. Step 4: Simplify right side
    285,174.84x = 62,114,039,561.01
  5. Step 5: Solve for x
    x = 62,114,039,561.01/285,174.84
  6. Step 6: Final answer
    x = 217,810.38

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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.