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Finding the Fourth Proportional to 302,407.19, 417,148.11 and 189,033.11

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Solution

The fourth proportional to 302,407.19, 417,148.11 and 189,033.11 is: 260,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,407.19 : 417,148.11 = 189,033.11 : x
  2. Step 2: Convert to fraction form
    302,407.19/417,148.11 = 189,033.11/x
  3. Step 3: Cross multiply
    302,407.19x = 417,148.11 × 189,033.11
  4. Step 4: Simplify right side
    302,407.19x = 78,854,804,042.49
  5. Step 5: Solve for x
    x = 78,854,804,042.49/302,407.19
  6. Step 6: Final answer
    x = 260,757.04

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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.