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Finding the Fourth Proportional to 543,157.60, 814,809.30 and 188,280.40

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Solution

The fourth proportional to 543,157.60, 814,809.30 and 188,280.40 is: 282,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,157.60 : 814,809.30 = 188,280.40 : x
  2. Step 2: Convert to fraction form
    543,157.60/814,809.30 = 188,280.40/x
  3. Step 3: Cross multiply
    543,157.60x = 814,809.30 × 188,280.40
  4. Step 4: Simplify right side
    543,157.60x = 153,412,620,927.72
  5. Step 5: Solve for x
    x = 153,412,620,927.72/543,157.60
  6. Step 6: Final answer
    x = 282,445.87

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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.