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Finding the Fourth Proportional to 562,285.80, 843,428.70 and 188,308.80

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Solution

The fourth proportional to 562,285.80, 843,428.70 and 188,308.80 is: 282,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,285.80 : 843,428.70 = 188,308.80 : x
  2. Step 2: Convert to fraction form
    562,285.80/843,428.70 = 188,308.80/x
  3. Step 3: Cross multiply
    562,285.80x = 843,428.70 × 188,308.80
  4. Step 4: Simplify right side
    562,285.80x = 158,825,046,382.56
  5. Step 5: Solve for x
    x = 158,825,046,382.56/562,285.80
  6. Step 6: Final answer
    x = 282,463.20

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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.