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Finding the Fourth Proportional to 380,986.23, 525,767.05 and 208,919.86

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Solution

The fourth proportional to 380,986.23, 525,767.05 and 208,919.86 is: 288,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,986.23 : 525,767.05 = 208,919.86 : x
  2. Step 2: Convert to fraction form
    380,986.23/525,767.05 = 208,919.86/x
  3. Step 3: Cross multiply
    380,986.23x = 525,767.05 × 208,919.86
  4. Step 4: Simplify right side
    380,986.23x = 109,843,177,425.35
  5. Step 5: Solve for x
    x = 109,843,177,425.35/380,986.23
  6. Step 6: Final answer
    x = 288,312.72

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