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Finding the Fourth Proportional to 375,291.20, 517,884.36 and 214,133.60

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Solution

The fourth proportional to 375,291.20, 517,884.36 and 214,133.60 is: 295,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,291.20 : 517,884.36 = 214,133.60 : x
  2. Step 2: Convert to fraction form
    375,291.20/517,884.36 = 214,133.60/x
  3. Step 3: Cross multiply
    375,291.20x = 517,884.36 × 214,133.60
  4. Step 4: Simplify right side
    375,291.20x = 110,896,442,390.50
  5. Step 5: Solve for x
    x = 110,896,442,390.50/375,291.20
  6. Step 6: Final answer
    x = 295,494.39

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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.