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Finding the Fourth Proportional to 389,255, 537,171.96 and 210,407

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Solution

The fourth proportional to 389,255, 537,171.96 and 210,407 is: 290,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,255 : 537,171.96 = 210,407 : x
  2. Step 2: Convert to fraction form
    389,255/537,171.96 = 210,407/x
  3. Step 3: Cross multiply
    389,255x = 537,171.96 × 210,407
  4. Step 4: Simplify right side
    389,255x = 113,024,740,587.72
  5. Step 5: Solve for x
    x = 113,024,740,587.72/389,255
  6. Step 6: Final answer
    x = 290,361.69

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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.