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Finding the Fourth Proportional to 460,270.40, 635,114.40 and 259,027.52

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Solution

The fourth proportional to 460,270.40, 635,114.40 and 259,027.52 is: 357,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,270.40 : 635,114.40 = 259,027.52 : x
  2. Step 2: Convert to fraction form
    460,270.40/635,114.40 = 259,027.52/x
  3. Step 3: Cross multiply
    460,270.40x = 635,114.40 × 259,027.52
  4. Step 4: Simplify right side
    460,270.40x = 164,512,107,948.29
  5. Step 5: Solve for x
    x = 164,512,107,948.29/460,270.40
  6. Step 6: Final answer
    x = 357,424.91

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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.