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Finding the Fourth Proportional to 302,674.24, 417,684.36 and 189,559.36

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Solution

The fourth proportional to 302,674.24, 417,684.36 and 189,559.36 is: 261,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,674.24 : 417,684.36 = 189,559.36 : x
  2. Step 2: Convert to fraction form
    302,674.24/417,684.36 = 189,559.36/x
  3. Step 3: Cross multiply
    302,674.24x = 417,684.36 × 189,559.36
  4. Step 4: Simplify right side
    302,674.24x = 79,175,979,963.61
  5. Step 5: Solve for x
    x = 79,175,979,963.61/302,674.24
  6. Step 6: Final answer
    x = 261,588.10

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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.