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Finding the Fourth Proportional to 460,151.50, 635,009.07 and 258,951.82

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Solution

The fourth proportional to 460,151.50, 635,009.07 and 258,951.82 is: 357,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,151.50 : 635,009.07 = 258,951.82 : x
  2. Step 2: Convert to fraction form
    460,151.50/635,009.07 = 258,951.82/x
  3. Step 3: Cross multiply
    460,151.50x = 635,009.07 × 258,951.82
  4. Step 4: Simplify right side
    460,151.50x = 164,436,754,393.01
  5. Step 5: Solve for x
    x = 164,436,754,393.01/460,151.50
  6. Step 6: Final answer
    x = 357,353.51

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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.