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Finding the Fourth Proportional to 404,533.46, 606,623.70 and 214,948.10

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Solution

The fourth proportional to 404,533.46, 606,623.70 and 214,948.10 is: 322,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,533.46 : 606,623.70 = 214,948.10 : x
  2. Step 2: Convert to fraction form
    404,533.46/606,623.70 = 214,948.10/x
  3. Step 3: Cross multiply
    404,533.46x = 606,623.70 × 214,948.10
  4. Step 4: Simplify right side
    404,533.46x = 130,392,611,729.97
  5. Step 5: Solve for x
    x = 130,392,611,729.97/404,533.46
  6. Step 6: Final answer
    x = 322,328.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.