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Finding the Fourth Proportional to 375,345.44, 518,013.96 and 214,224.90

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Solution

The fourth proportional to 375,345.44, 518,013.96 and 214,224.90 is: 295,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,345.44 : 518,013.96 = 214,224.90 : x
  2. Step 2: Convert to fraction form
    375,345.44/518,013.96 = 214,224.90/x
  3. Step 3: Cross multiply
    375,345.44x = 518,013.96 × 214,224.90
  4. Step 4: Simplify right side
    375,345.44x = 110,971,488,779.60
  5. Step 5: Solve for x
    x = 110,971,488,779.60/375,345.44
  6. Step 6: Final answer
    x = 295,651.62

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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.