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Finding the Fourth Proportional to 662,497.21, 914,013.32 and 433,188.73

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Solution

The fourth proportional to 662,497.21, 914,013.32 and 433,188.73 is: 597,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,497.21 : 914,013.32 = 433,188.73 : x
  2. Step 2: Convert to fraction form
    662,497.21/914,013.32 = 433,188.73/x
  3. Step 3: Cross multiply
    662,497.21x = 914,013.32 × 433,188.73
  4. Step 4: Simplify right side
    662,497.21x = 395,940,269,293.88
  5. Step 5: Solve for x
    x = 395,940,269,293.88/662,497.21
  6. Step 6: Final answer
    x = 597,648.21

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Double scale
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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.