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Finding the Fourth Proportional to 463,207, 689,749.09 and 446,182.60

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Solution

The fourth proportional to 463,207, 689,749.09 and 446,182.60 is: 664,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,207 : 689,749.09 = 446,182.60 : x
  2. Step 2: Convert to fraction form
    463,207/689,749.09 = 446,182.60/x
  3. Step 3: Cross multiply
    463,207x = 689,749.09 × 446,182.60
  4. Step 4: Simplify right side
    463,207x = 307,754,042,323.83
  5. Step 5: Solve for x
    x = 307,754,042,323.83/463,207
  6. Step 6: Final answer
    x = 664,398.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.