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Finding the Fourth Proportional to 302,642.66, 417,696.80 and 230,887.19

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Solution

The fourth proportional to 302,642.66, 417,696.80 and 230,887.19 is: 318,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,642.66 : 417,696.80 = 230,887.19 : x
  2. Step 2: Convert to fraction form
    302,642.66/417,696.80 = 230,887.19/x
  3. Step 3: Cross multiply
    302,642.66x = 417,696.80 × 230,887.19
  4. Step 4: Simplify right side
    302,642.66x = 96,440,837,181.07
  5. Step 5: Solve for x
    x = 96,440,837,181.07/302,642.66
  6. Step 6: Final answer
    x = 318,662.41

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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.