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Finding the Fourth Proportional to 306,212.69, 422,597.16 and 183,709.67

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Solution

The fourth proportional to 306,212.69, 422,597.16 and 183,709.67 is: 253,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,212.69 : 422,597.16 = 183,709.67 : x
  2. Step 2: Convert to fraction form
    306,212.69/422,597.16 = 183,709.67/x
  3. Step 3: Cross multiply
    306,212.69x = 422,597.16 × 183,709.67
  4. Step 4: Simplify right side
    306,212.69x = 77,635,182,693.55
  5. Step 5: Solve for x
    x = 77,635,182,693.55/306,212.69
  6. Step 6: Final answer
    x = 253,533.52

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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.