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Finding the Fourth Proportional to 289,460.88, 434,203.47 and 79,098.21

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Solution

The fourth proportional to 289,460.88, 434,203.47 and 79,098.21 is: 118,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,460.88 : 434,203.47 = 79,098.21 : x
  2. Step 2: Convert to fraction form
    289,460.88/434,203.47 = 79,098.21/x
  3. Step 3: Cross multiply
    289,460.88x = 434,203.47 × 79,098.21
  4. Step 4: Simplify right side
    289,460.88x = 34,344,717,252.79
  5. Step 5: Solve for x
    x = 34,344,717,252.79/289,460.88
  6. Step 6: Final answer
    x = 118,650.64

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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.