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Finding the Fourth Proportional to 429,295.84, 592,308.16 and 268,314.44

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Solution

The fourth proportional to 429,295.84, 592,308.16 and 268,314.44 is: 370,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,295.84 : 592,308.16 = 268,314.44 : x
  2. Step 2: Convert to fraction form
    429,295.84/592,308.16 = 268,314.44/x
  3. Step 3: Cross multiply
    429,295.84x = 592,308.16 × 268,314.44
  4. Step 4: Simplify right side
    429,295.84x = 158,924,832,257.83
  5. Step 5: Solve for x
    x = 158,924,832,257.83/429,295.84
  6. Step 6: Final answer
    x = 370,198.86

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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.