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Finding the Fourth Proportional to 307,548.98, 424,417.85 and 171,582.95

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Solution

The fourth proportional to 307,548.98, 424,417.85 and 171,582.95 is: 236,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,548.98 : 424,417.85 = 171,582.95 : x
  2. Step 2: Convert to fraction form
    307,548.98/424,417.85 = 171,582.95/x
  3. Step 3: Cross multiply
    307,548.98x = 424,417.85 × 171,582.95
  4. Step 4: Simplify right side
    307,548.98x = 72,822,866,735.66
  5. Step 5: Solve for x
    x = 72,822,866,735.66/307,548.98
  6. Step 6: Final answer
    x = 236,784.61

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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.