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Finding the Fourth Proportional to 375,246.81, 517,830.57 and 214,098.93

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Solution

The fourth proportional to 375,246.81, 517,830.57 and 214,098.93 is: 295,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,246.81 : 517,830.57 = 214,098.93 : x
  2. Step 2: Convert to fraction form
    375,246.81/517,830.57 = 214,098.93/x
  3. Step 3: Cross multiply
    375,246.81x = 517,830.57 × 214,098.93
  4. Step 4: Simplify right side
    375,246.81x = 110,866,970,958.29
  5. Step 5: Solve for x
    x = 110,866,970,958.29/375,246.81
  6. Step 6: Final answer
    x = 295,450.80

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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.