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Finding the Fourth Proportional to 378,083.10, 567,124.65 and 349,214.70

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Solution

The fourth proportional to 378,083.10, 567,124.65 and 349,214.70 is: 523,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,083.10 : 567,124.65 = 349,214.70 : x
  2. Step 2: Convert to fraction form
    378,083.10/567,124.65 = 349,214.70/x
  3. Step 3: Cross multiply
    378,083.10x = 567,124.65 × 349,214.70
  4. Step 4: Simplify right side
    378,083.10x = 198,048,264,512.36
  5. Step 5: Solve for x
    x = 198,048,264,512.36/378,083.10
  6. Step 6: Final answer
    x = 523,822.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.