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Finding the Fourth Proportional to 375,298.80, 517,783.80 and 214,037.92

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Solution

The fourth proportional to 375,298.80, 517,783.80 and 214,037.92 is: 295,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,298.80 : 517,783.80 = 214,037.92 : x
  2. Step 2: Convert to fraction form
    375,298.80/517,783.80 = 214,037.92/x
  3. Step 3: Cross multiply
    375,298.80x = 517,783.80 × 214,037.92
  4. Step 4: Simplify right side
    375,298.80x = 110,825,367,561.70
  5. Step 5: Solve for x
    x = 110,825,367,561.70/375,298.80
  6. Step 6: Final answer
    x = 295,299.02

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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.