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Finding the Fourth Proportional to 608,505.70, 912,672.15 and 209,164.90

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Solution

The fourth proportional to 608,505.70, 912,672.15 and 209,164.90 is: 313,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,505.70 : 912,672.15 = 209,164.90 : x
  2. Step 2: Convert to fraction form
    608,505.70/912,672.15 = 209,164.90/x
  3. Step 3: Cross multiply
    608,505.70x = 912,672.15 × 209,164.90
  4. Step 4: Simplify right side
    608,505.70x = 190,898,978,987.54
  5. Step 5: Solve for x
    x = 190,898,978,987.54/608,505.70
  6. Step 6: Final answer
    x = 313,717.65

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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.