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Finding the Fourth Proportional to 285,174.34, 393,499.37 and 157,849.64

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Solution

The fourth proportional to 285,174.34, 393,499.37 and 157,849.64 is: 217,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,174.34 : 393,499.37 = 157,849.64 : x
  2. Step 2: Convert to fraction form
    285,174.34/393,499.37 = 157,849.64/x
  3. Step 3: Cross multiply
    285,174.34x = 393,499.37 × 157,849.64
  4. Step 4: Simplify right side
    285,174.34x = 62,113,733,894.73
  5. Step 5: Solve for x
    x = 62,113,733,894.73/285,174.34
  6. Step 6: Final answer
    x = 217,809.69

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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.