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Finding the Fourth Proportional to 384,539.10, 576,810.06 and 118,297.77

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Solution

The fourth proportional to 384,539.10, 576,810.06 and 118,297.77 is: 177,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,539.10 : 576,810.06 = 118,297.77 : x
  2. Step 2: Convert to fraction form
    384,539.10/576,810.06 = 118,297.77/x
  3. Step 3: Cross multiply
    384,539.10x = 576,810.06 × 118,297.77
  4. Step 4: Simplify right side
    384,539.10x = 68,235,343,811.57
  5. Step 5: Solve for x
    x = 68,235,343,811.57/384,539.10
  6. Step 6: Final answer
    x = 177,447.09

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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.