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Finding the Fourth Proportional to 375,453.48, 518,163 and 214,332.78

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Solution

The fourth proportional to 375,453.48, 518,163 and 214,332.78 is: 295,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,453.48 : 518,163 = 214,332.78 : x
  2. Step 2: Convert to fraction form
    375,453.48/518,163 = 214,332.78/x
  3. Step 3: Cross multiply
    375,453.48x = 518,163 × 214,332.78
  4. Step 4: Simplify right side
    375,453.48x = 111,059,316,283.14
  5. Step 5: Solve for x
    x = 111,059,316,283.14/375,453.48
  6. Step 6: Final answer
    x = 295,800.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.