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Finding the Fourth Proportional to 406,533.08, 609,474 and 193,193.94

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Solution

The fourth proportional to 406,533.08, 609,474 and 193,193.94 is: 289,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,533.08 : 609,474 = 193,193.94 : x
  2. Step 2: Convert to fraction form
    406,533.08/609,474 = 193,193.94/x
  3. Step 3: Cross multiply
    406,533.08x = 609,474 × 193,193.94
  4. Step 4: Simplify right side
    406,533.08x = 117,746,683,387.56
  5. Step 5: Solve for x
    x = 117,746,683,387.56/406,533.08
  6. Step 6: Final answer
    x = 289,636.17

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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.