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Finding the Fourth Proportional to 375,119.16, 517,654.29 and 213,970.81

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Solution

The fourth proportional to 375,119.16, 517,654.29 and 213,970.81 is: 295,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,119.16 : 517,654.29 = 213,970.81 : x
  2. Step 2: Convert to fraction form
    375,119.16/517,654.29 = 213,970.81/x
  3. Step 3: Cross multiply
    375,119.16x = 517,654.29 × 213,970.81
  4. Step 4: Simplify right side
    375,119.16x = 110,762,907,731.28
  5. Step 5: Solve for x
    x = 110,762,907,731.28/375,119.16
  6. Step 6: Final answer
    x = 295,273.93

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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.