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Finding the Fourth Proportional to 378,214.80, 567,322.20 and 341,350.80

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Solution

The fourth proportional to 378,214.80, 567,322.20 and 341,350.80 is: 512,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,214.80 : 567,322.20 = 341,350.80 : x
  2. Step 2: Convert to fraction form
    378,214.80/567,322.20 = 341,350.80/x
  3. Step 3: Cross multiply
    378,214.80x = 567,322.20 × 341,350.80
  4. Step 4: Simplify right side
    378,214.80x = 193,655,886,827.76
  5. Step 5: Solve for x
    x = 193,655,886,827.76/378,214.80
  6. Step 6: Final answer
    x = 512,026.20

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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.