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Finding the Fourth Proportional to 299,243.43, 412,955.76 and 191,813.37

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Solution

The fourth proportional to 299,243.43, 412,955.76 and 191,813.37 is: 264,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,243.43 : 412,955.76 = 191,813.37 : x
  2. Step 2: Convert to fraction form
    299,243.43/412,955.76 = 191,813.37/x
  3. Step 3: Cross multiply
    299,243.43x = 412,955.76 × 191,813.37
  4. Step 4: Simplify right side
    299,243.43x = 79,210,435,986.51
  5. Step 5: Solve for x
    x = 79,210,435,986.51/299,243.43
  6. Step 6: Final answer
    x = 264,702.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.