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Finding the Fourth Proportional to 344,978.21, 475,868.15 and 224,199.94

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Solution

The fourth proportional to 344,978.21, 475,868.15 and 224,199.94 is: 309,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,978.21 : 475,868.15 = 224,199.94 : x
  2. Step 2: Convert to fraction form
    344,978.21/475,868.15 = 224,199.94/x
  3. Step 3: Cross multiply
    344,978.21x = 475,868.15 × 224,199.94
  4. Step 4: Simplify right side
    344,978.21x = 106,689,610,677.91
  5. Step 5: Solve for x
    x = 106,689,610,677.91/344,978.21
  6. Step 6: Final answer
    x = 309,264.78

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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.