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Finding the Fourth Proportional to 406,329.56, 609,500.35 and 193,119.24

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Solution

The fourth proportional to 406,329.56, 609,500.35 and 193,119.24 is: 289,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,329.56 : 609,500.35 = 193,119.24 : x
  2. Step 2: Convert to fraction form
    406,329.56/609,500.35 = 193,119.24/x
  3. Step 3: Cross multiply
    406,329.56x = 609,500.35 × 193,119.24
  4. Step 4: Simplify right side
    406,329.56x = 117,706,242,384.02
  5. Step 5: Solve for x
    x = 117,706,242,384.02/406,329.56
  6. Step 6: Final answer
    x = 289,681.71

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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.