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Finding the Fourth Proportional to 389,504, 537,515.52 and 210,656

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Solution

The fourth proportional to 389,504, 537,515.52 and 210,656 is: 290,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,504 : 537,515.52 = 210,656 : x
  2. Step 2: Convert to fraction form
    389,504/537,515.52 = 210,656/x
  3. Step 3: Cross multiply
    389,504x = 537,515.52 × 210,656
  4. Step 4: Simplify right side
    389,504x = 113,230,869,381.12
  5. Step 5: Solve for x
    x = 113,230,869,381.12/389,504
  6. Step 6: Final answer
    x = 290,705.28

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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.