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Finding the Fourth Proportional to 379,751.16, 569,713.14 and 202,164.60

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Solution

The fourth proportional to 379,751.16, 569,713.14 and 202,164.60 is: 303,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,751.16 : 569,713.14 = 202,164.60 : x
  2. Step 2: Convert to fraction form
    379,751.16/569,713.14 = 202,164.60/x
  3. Step 3: Cross multiply
    379,751.16x = 569,713.14 × 202,164.60
  4. Step 4: Simplify right side
    379,751.16x = 115,175,829,062.84
  5. Step 5: Solve for x
    x = 115,175,829,062.84/379,751.16
  6. Step 6: Final answer
    x = 303,292.90

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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.