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Finding the Fourth Proportional to 479,298.12, 664,227.47 and 472,533

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Solution

The fourth proportional to 479,298.12, 664,227.47 and 472,533 is: 654,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,298.12 : 664,227.47 = 472,533 : x
  2. Step 2: Convert to fraction form
    479,298.12/664,227.47 = 472,533/x
  3. Step 3: Cross multiply
    479,298.12x = 664,227.47 × 472,533
  4. Step 4: Simplify right side
    479,298.12x = 313,869,396,718.85
  5. Step 5: Solve for x
    x = 313,869,396,718.85/479,298.12
  6. Step 6: Final answer
    x = 654,852.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.