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Finding the Fourth Proportional to 382,279.55, 527,557.25 and 210,188.60

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Solution

The fourth proportional to 382,279.55, 527,557.25 and 210,188.60 is: 290,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,279.55 : 527,557.25 = 210,188.60 : x
  2. Step 2: Convert to fraction form
    382,279.55/527,557.25 = 210,188.60/x
  3. Step 3: Cross multiply
    382,279.55x = 527,557.25 × 210,188.60
  4. Step 4: Simplify right side
    382,279.55x = 110,886,519,663.38
  5. Step 5: Solve for x
    x = 110,886,519,663.38/382,279.55
  6. Step 6: Final answer
    x = 290,066.58

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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.