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Finding the Fourth Proportional to 429,893.85, 592,228.17 and 300,590.39

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Solution

The fourth proportional to 429,893.85, 592,228.17 and 300,590.39 is: 414,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,893.85 : 592,228.17 = 300,590.39 : x
  2. Step 2: Convert to fraction form
    429,893.85/592,228.17 = 300,590.39/x
  3. Step 3: Cross multiply
    429,893.85x = 592,228.17 × 300,590.39
  4. Step 4: Simplify right side
    429,893.85x = 178,018,093,628.15
  5. Step 5: Solve for x
    x = 178,018,093,628.15/429,893.85
  6. Step 6: Final answer
    x = 414,097.79

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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.