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Finding the Fourth Proportional to 375,423.64, 518,092.95 and 214,275.36

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Solution

The fourth proportional to 375,423.64, 518,092.95 and 214,275.36 is: 295,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,423.64 : 518,092.95 = 214,275.36 : x
  2. Step 2: Convert to fraction form
    375,423.64/518,092.95 = 214,275.36/x
  3. Step 3: Cross multiply
    375,423.64x = 518,092.95 × 214,275.36
  4. Step 4: Simplify right side
    375,423.64x = 111,014,553,374.71
  5. Step 5: Solve for x
    x = 111,014,553,374.71/375,423.64
  6. Step 6: Final answer
    x = 295,704.75

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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.