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Finding the Fourth Proportional to 690,296.82, 952,903.56 and 464,073.54

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Solution

The fourth proportional to 690,296.82, 952,903.56 and 464,073.54 is: 640,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,296.82 : 952,903.56 = 464,073.54 : x
  2. Step 2: Convert to fraction form
    690,296.82/952,903.56 = 464,073.54/x
  3. Step 3: Cross multiply
    690,296.82x = 952,903.56 × 464,073.54
  4. Step 4: Simplify right side
    690,296.82x = 442,217,328,367.80
  5. Step 5: Solve for x
    x = 442,217,328,367.80/690,296.82
  6. Step 6: Final answer
    x = 640,619.10

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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.