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Finding the Fourth Proportional to 473,067.86, 709,915.19 and 259,984.58

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Solution

The fourth proportional to 473,067.86, 709,915.19 and 259,984.58 is: 390,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,067.86 : 709,915.19 = 259,984.58 : x
  2. Step 2: Convert to fraction form
    473,067.86/709,915.19 = 259,984.58/x
  3. Step 3: Cross multiply
    473,067.86x = 709,915.19 × 259,984.58
  4. Step 4: Simplify right side
    473,067.86x = 184,567,002,507.77
  5. Step 5: Solve for x
    x = 184,567,002,507.77/473,067.86
  6. Step 6: Final answer
    x = 390,149.11

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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.