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Finding the Fourth Proportional to 437,486.65, 656,284.65 and 171,212.74

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Solution

The fourth proportional to 437,486.65, 656,284.65 and 171,212.74 is: 256,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,486.65 : 656,284.65 = 171,212.74 : x
  2. Step 2: Convert to fraction form
    437,486.65/656,284.65 = 171,212.74/x
  3. Step 3: Cross multiply
    437,486.65x = 656,284.65 × 171,212.74
  4. Step 4: Simplify right side
    437,486.65x = 112,364,293,146.44
  5. Step 5: Solve for x
    x = 112,364,293,146.44/437,486.65
  6. Step 6: Final answer
    x = 256,840.51

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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.