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Finding the Fourth Proportional to 375,159.50, 517,671.89 and 214,004.93

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Solution

The fourth proportional to 375,159.50, 517,671.89 and 214,004.93 is: 295,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,159.50 : 517,671.89 = 214,004.93 : x
  2. Step 2: Convert to fraction form
    375,159.50/517,671.89 = 214,004.93/x
  3. Step 3: Cross multiply
    375,159.50x = 517,671.89 × 214,004.93
  4. Step 4: Simplify right side
    375,159.50x = 110,784,336,582.42
  5. Step 5: Solve for x
    x = 110,784,336,582.42/375,159.50
  6. Step 6: Final answer
    x = 295,299.30

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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.