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Finding the Fourth Proportional to 384,900.84, 577,283.22 and 104,439.96

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Solution

The fourth proportional to 384,900.84, 577,283.22 and 104,439.96 is: 156,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,900.84 : 577,283.22 = 104,439.96 : x
  2. Step 2: Convert to fraction form
    384,900.84/577,283.22 = 104,439.96/x
  3. Step 3: Cross multiply
    384,900.84x = 577,283.22 × 104,439.96
  4. Step 4: Simplify right side
    384,900.84x = 60,291,436,405.47
  5. Step 5: Solve for x
    x = 60,291,436,405.47/384,900.84
  6. Step 6: Final answer
    x = 156,641.48

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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.