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Finding the Fourth Proportional to 379,774.16, 569,747.64 and 202,187.60

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Solution

The fourth proportional to 379,774.16, 569,747.64 and 202,187.60 is: 303,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,774.16 : 569,747.64 = 202,187.60 : x
  2. Step 2: Convert to fraction form
    379,774.16/569,747.64 = 202,187.60/x
  3. Step 3: Cross multiply
    379,774.16x = 569,747.64 × 202,187.60
  4. Step 4: Simplify right side
    379,774.16x = 115,195,907,937.26
  5. Step 5: Solve for x
    x = 115,195,907,937.26/379,774.16
  6. Step 6: Final answer
    x = 303,327.40

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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.