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Finding the Fourth Proportional to 375,431.04, 517,968.06 and 214,172.58

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Solution

The fourth proportional to 375,431.04, 517,968.06 and 214,172.58 is: 295,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,431.04 : 517,968.06 = 214,172.58 : x
  2. Step 2: Convert to fraction form
    375,431.04/517,968.06 = 214,172.58/x
  3. Step 3: Cross multiply
    375,431.04x = 517,968.06 × 214,172.58
  4. Step 4: Simplify right side
    375,431.04x = 110,934,555,767.80
  5. Step 5: Solve for x
    x = 110,934,555,767.80/375,431.04
  6. Step 6: Final answer
    x = 295,485.84

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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.