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Finding the Fourth Proportional to 471,062.48, 706,594.20 and 190,582.16

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Solution

The fourth proportional to 471,062.48, 706,594.20 and 190,582.16 is: 285,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,062.48 : 706,594.20 = 190,582.16 : x
  2. Step 2: Convert to fraction form
    471,062.48/706,594.20 = 190,582.16/x
  3. Step 3: Cross multiply
    471,062.48x = 706,594.20 × 190,582.16
  4. Step 4: Simplify right side
    471,062.48x = 134,664,248,879.47
  5. Step 5: Solve for x
    x = 134,664,248,879.47/471,062.48
  6. Step 6: Final answer
    x = 285,873.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.