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Finding the Fourth Proportional to 460,259.40, 635,165.10 and 259,055.40

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Solution

The fourth proportional to 460,259.40, 635,165.10 and 259,055.40 is: 357,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,259.40 : 635,165.10 = 259,055.40 : x
  2. Step 2: Convert to fraction form
    460,259.40/635,165.10 = 259,055.40/x
  3. Step 3: Cross multiply
    460,259.40x = 635,165.10 × 259,055.40
  4. Step 4: Simplify right side
    460,259.40x = 164,542,949,046.54
  5. Step 5: Solve for x
    x = 164,542,949,046.54/460,259.40
  6. Step 6: Final answer
    x = 357,500.46

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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.