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Finding the Fourth Proportional to 232,960.52, 320,692.16 and 172,417.07

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Solution

The fourth proportional to 232,960.52, 320,692.16 and 172,417.07 is: 237,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,960.52 : 320,692.16 = 172,417.07 : x
  2. Step 2: Convert to fraction form
    232,960.52/320,692.16 = 172,417.07/x
  3. Step 3: Cross multiply
    232,960.52x = 320,692.16 × 172,417.07
  4. Step 4: Simplify right side
    232,960.52x = 55,292,803,831.94
  5. Step 5: Solve for x
    x = 55,292,803,831.94/232,960.52
  6. Step 6: Final answer
    x = 237,348.39

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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.