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Finding the Fourth Proportional to 406,525.08, 609,462 and 193,185.93

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Solution

The fourth proportional to 406,525.08, 609,462 and 193,185.93 is: 289,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,525.08 : 609,462 = 193,185.93 : x
  2. Step 2: Convert to fraction form
    406,525.08/609,462 = 193,185.93/x
  3. Step 3: Cross multiply
    406,525.08x = 609,462 × 193,185.93
  4. Step 4: Simplify right side
    406,525.08x = 117,739,483,269.66
  5. Step 5: Solve for x
    x = 117,739,483,269.66/406,525.08
  6. Step 6: Final answer
    x = 289,624.16

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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.