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Finding the Fourth Proportional to 429,850.08, 593,019.90 and 259,788.96

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Solution

The fourth proportional to 429,850.08, 593,019.90 and 259,788.96 is: 358,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,850.08 : 593,019.90 = 259,788.96 : x
  2. Step 2: Convert to fraction form
    429,850.08/593,019.90 = 259,788.96/x
  3. Step 3: Cross multiply
    429,850.08x = 593,019.90 × 259,788.96
  4. Step 4: Simplify right side
    429,850.08x = 154,060,023,080.30
  5. Step 5: Solve for x
    x = 154,060,023,080.30/429,850.08
  6. Step 6: Final answer
    x = 358,404.08

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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.