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Finding the Fourth Proportional to 375,425.44, 517,957.60 and 214,164.16

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Solution

The fourth proportional to 375,425.44, 517,957.60 and 214,164.16 is: 295,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,425.44 : 517,957.60 = 214,164.16 : x
  2. Step 2: Convert to fraction form
    375,425.44/517,957.60 = 214,164.16/x
  3. Step 3: Cross multiply
    375,425.44x = 517,957.60 × 214,164.16
  4. Step 4: Simplify right side
    375,425.44x = 110,927,954,319.62
  5. Step 5: Solve for x
    x = 110,927,954,319.62/375,425.44
  6. Step 6: Final answer
    x = 295,472.66

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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.