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Finding the Fourth Proportional to 725,896, 1,001,689 and 403,594.24

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Solution

The fourth proportional to 725,896, 1,001,689 and 403,594.24 is: 556,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,896 : 1,001,689 = 403,594.24 : x
  2. Step 2: Convert to fraction form
    725,896/1,001,689 = 403,594.24/x
  3. Step 3: Cross multiply
    725,896x = 1,001,689 × 403,594.24
  4. Step 4: Simplify right side
    725,896x = 404,275,910,671.36
  5. Step 5: Solve for x
    x = 404,275,910,671.36/725,896
  6. Step 6: Final answer
    x = 556,933.65

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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.