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Finding the Fourth Proportional to 384,214.80, 576,322.20 and 364,531.80

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Solution

The fourth proportional to 384,214.80, 576,322.20 and 364,531.80 is: 546,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,214.80 : 576,322.20 = 364,531.80 : x
  2. Step 2: Convert to fraction form
    384,214.80/576,322.20 = 364,531.80/x
  3. Step 3: Cross multiply
    384,214.80x = 576,322.20 × 364,531.80
  4. Step 4: Simplify right side
    384,214.80x = 210,087,768,945.96
  5. Step 5: Solve for x
    x = 210,087,768,945.96/384,214.80
  6. Step 6: Final answer
    x = 546,797.70

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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.