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Finding the Fourth Proportional to 477,257.70, 658,598.79 and 262,396.11

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Solution

The fourth proportional to 477,257.70, 658,598.79 and 262,396.11 is: 362,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,257.70 : 658,598.79 = 262,396.11 : x
  2. Step 2: Convert to fraction form
    477,257.70/658,598.79 = 262,396.11/x
  3. Step 3: Cross multiply
    477,257.70x = 658,598.79 × 262,396.11
  4. Step 4: Simplify right side
    477,257.70x = 172,813,760,546.71
  5. Step 5: Solve for x
    x = 172,813,760,546.71/477,257.70
  6. Step 6: Final answer
    x = 362,097.38

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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.