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Finding the Fourth Proportional to 549,857.16, 824,914.53 and 170,758.53

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Solution

The fourth proportional to 549,857.16, 824,914.53 and 170,758.53 is: 256,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,857.16 : 824,914.53 = 170,758.53 : x
  2. Step 2: Convert to fraction form
    549,857.16/824,914.53 = 170,758.53/x
  3. Step 3: Cross multiply
    549,857.16x = 824,914.53 × 170,758.53
  4. Step 4: Simplify right side
    549,857.16x = 140,861,192,518.44
  5. Step 5: Solve for x
    x = 140,861,192,518.44/549,857.16
  6. Step 6: Final answer
    x = 256,177.79

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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.