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Finding the Fourth Proportional to 380,057.80, 569,730.30 and 143,559.40

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Solution

The fourth proportional to 380,057.80, 569,730.30 and 143,559.40 is: 215,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,057.80 : 569,730.30 = 143,559.40 : x
  2. Step 2: Convert to fraction form
    380,057.80/569,730.30 = 143,559.40/x
  3. Step 3: Cross multiply
    380,057.80x = 569,730.30 × 143,559.40
  4. Step 4: Simplify right side
    380,057.80x = 81,790,140,029.82
  5. Step 5: Solve for x
    x = 81,790,140,029.82/380,057.80
  6. Step 6: Final answer
    x = 215,204.48

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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.