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Finding the Fourth Proportional to 316,213.22, 436,475.85 and 208,878.50

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Solution

The fourth proportional to 316,213.22, 436,475.85 and 208,878.50 is: 288,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,213.22 : 436,475.85 = 208,878.50 : x
  2. Step 2: Convert to fraction form
    316,213.22/436,475.85 = 208,878.50/x
  3. Step 3: Cross multiply
    316,213.22x = 436,475.85 × 208,878.50
  4. Step 4: Simplify right side
    316,213.22x = 91,170,420,834.23
  5. Step 5: Solve for x
    x = 91,170,420,834.23/316,213.22
  6. Step 6: Final answer
    x = 288,319.45

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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.