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Finding the Fourth Proportional to 298,404.06, 411,805.26 and 183,640.02

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Solution

The fourth proportional to 298,404.06, 411,805.26 and 183,640.02 is: 253,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,404.06 : 411,805.26 = 183,640.02 : x
  2. Step 2: Convert to fraction form
    298,404.06/411,805.26 = 183,640.02/x
  3. Step 3: Cross multiply
    298,404.06x = 411,805.26 × 183,640.02
  4. Step 4: Simplify right side
    298,404.06x = 75,623,926,182.51
  5. Step 5: Solve for x
    x = 75,623,926,182.51/298,404.06
  6. Step 6: Final answer
    x = 253,427.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.