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Finding the Fourth Proportional to 471,611.95, 650,824.30 and 256,751.96

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Solution

The fourth proportional to 471,611.95, 650,824.30 and 256,751.96 is: 354,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,611.95 : 650,824.30 = 256,751.96 : x
  2. Step 2: Convert to fraction form
    471,611.95/650,824.30 = 256,751.96/x
  3. Step 3: Cross multiply
    471,611.95x = 650,824.30 × 256,751.96
  4. Step 4: Simplify right side
    471,611.95x = 167,100,411,707.45
  5. Step 5: Solve for x
    x = 167,100,411,707.45/471,611.95
  6. Step 6: Final answer
    x = 354,317.60

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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.