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Finding the Fourth Proportional to 302,656.73, 417,635.37 and 186,351.73

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Solution

The fourth proportional to 302,656.73, 417,635.37 and 186,351.73 is: 257,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,656.73 : 417,635.37 = 186,351.73 : x
  2. Step 2: Convert to fraction form
    302,656.73/417,635.37 = 186,351.73/x
  3. Step 3: Cross multiply
    302,656.73x = 417,635.37 × 186,351.73
  4. Step 4: Simplify right side
    302,656.73x = 77,827,072,664.60
  5. Step 5: Solve for x
    x = 77,827,072,664.60/302,656.73
  6. Step 6: Final answer
    x = 257,146.35

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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.