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Finding the Fourth Proportional to 614,717, 848,324.46 and 342,782.24

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Solution

The fourth proportional to 614,717, 848,324.46 and 342,782.24 is: 473,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,717 : 848,324.46 = 342,782.24 : x
  2. Step 2: Convert to fraction form
    614,717/848,324.46 = 342,782.24/x
  3. Step 3: Cross multiply
    614,717x = 848,324.46 × 342,782.24
  4. Step 4: Simplify right side
    614,717x = 290,790,558,645.59
  5. Step 5: Solve for x
    x = 290,790,558,645.59/614,717
  6. Step 6: Final answer
    x = 473,047.86

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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.