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Finding the Fourth Proportional to 360,906.35, 497,998.64 and 199,761.02

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Solution

The fourth proportional to 360,906.35, 497,998.64 and 199,761.02 is: 275,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,906.35 : 497,998.64 = 199,761.02 : x
  2. Step 2: Convert to fraction form
    360,906.35/497,998.64 = 199,761.02/x
  3. Step 3: Cross multiply
    360,906.35x = 497,998.64 × 199,761.02
  4. Step 4: Simplify right side
    360,906.35x = 99,480,714,128.25
  5. Step 5: Solve for x
    x = 99,480,714,128.25/360,906.35
  6. Step 6: Final answer
    x = 275,641.35

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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.