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Finding the Fourth Proportional to 650,668.82, 897,914.12 and 364,188.86

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Solution

The fourth proportional to 650,668.82, 897,914.12 and 364,188.86 is: 502,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,668.82 : 897,914.12 = 364,188.86 : x
  2. Step 2: Convert to fraction form
    650,668.82/897,914.12 = 364,188.86/x
  3. Step 3: Cross multiply
    650,668.82x = 897,914.12 × 364,188.86
  4. Step 4: Simplify right side
    650,668.82x = 327,010,319,740.70
  5. Step 5: Solve for x
    x = 327,010,319,740.70/650,668.82
  6. Step 6: Final answer
    x = 502,575.67

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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.