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Finding the Fourth Proportional to 406,529.94, 610,003.08 and 193,538.82

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Solution

The fourth proportional to 406,529.94, 610,003.08 and 193,538.82 is: 290,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,529.94 : 610,003.08 = 193,538.82 : x
  2. Step 2: Convert to fraction form
    406,529.94/610,003.08 = 193,538.82/x
  3. Step 3: Cross multiply
    406,529.94x = 610,003.08 × 193,538.82
  4. Step 4: Simplify right side
    406,529.94x = 118,059,276,299.57
  5. Step 5: Solve for x
    x = 118,059,276,299.57/406,529.94
  6. Step 6: Final answer
    x = 290,407.33

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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.