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Finding the Fourth Proportional to 384,071.40, 576,107.10 and 242,353.80

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Solution

The fourth proportional to 384,071.40, 576,107.10 and 242,353.80 is: 363,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,071.40 : 576,107.10 = 242,353.80 : x
  2. Step 2: Convert to fraction form
    384,071.40/576,107.10 = 242,353.80/x
  3. Step 3: Cross multiply
    384,071.40x = 576,107.10 × 242,353.80
  4. Step 4: Simplify right side
    384,071.40x = 139,621,744,891.98
  5. Step 5: Solve for x
    x = 139,621,744,891.98/384,071.40
  6. Step 6: Final answer
    x = 363,530.70

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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.