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Finding the Fourth Proportional to 384,200.34, 576,152.70 and 265,511.82

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Solution

The fourth proportional to 384,200.34, 576,152.70 and 265,511.82 is: 398,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.34 : 576,152.70 = 265,511.82 : x
  2. Step 2: Convert to fraction form
    384,200.34/576,152.70 = 265,511.82/x
  3. Step 3: Cross multiply
    384,200.34x = 576,152.70 × 265,511.82
  4. Step 4: Simplify right side
    384,200.34x = 152,975,351,974.91
  5. Step 5: Solve for x
    x = 152,975,351,974.91/384,200.34
  6. Step 6: Final answer
    x = 398,165.58

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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.