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Finding the Fourth Proportional to 460,198.20, 635,072.22 and 258,994.20

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Solution

The fourth proportional to 460,198.20, 635,072.22 and 258,994.20 is: 357,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,198.20 : 635,072.22 = 258,994.20 : x
  2. Step 2: Convert to fraction form
    460,198.20/635,072.22 = 258,994.20/x
  3. Step 3: Cross multiply
    460,198.20x = 635,072.22 × 258,994.20
  4. Step 4: Simplify right side
    460,198.20x = 164,480,021,561.12
  5. Step 5: Solve for x
    x = 164,480,021,561.12/460,198.20
  6. Step 6: Final answer
    x = 357,411.27

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1.5x scale

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.