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Finding the Fourth Proportional to 473,989.07, 654,078.44 and 259,086.35

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Solution

The fourth proportional to 473,989.07, 654,078.44 and 259,086.35 is: 357,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,989.07 : 654,078.44 = 259,086.35 : x
  2. Step 2: Convert to fraction form
    473,989.07/654,078.44 = 259,086.35/x
  3. Step 3: Cross multiply
    473,989.07x = 654,078.44 × 259,086.35
  4. Step 4: Simplify right side
    473,989.07x = 169,462,794,337.86
  5. Step 5: Solve for x
    x = 169,462,794,337.86/473,989.07
  6. Step 6: Final answer
    x = 357,524.69

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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.