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Finding the Fourth Proportional to 389,312, 537,251.84 and 210,465.28

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Solution

The fourth proportional to 389,312, 537,251.84 and 210,465.28 is: 290,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,312 : 537,251.84 = 210,465.28 : x
  2. Step 2: Convert to fraction form
    389,312/537,251.84 = 210,465.28/x
  3. Step 3: Cross multiply
    389,312x = 537,251.84 × 210,465.28
  4. Step 4: Simplify right side
    389,312x = 113,072,858,936.12
  5. Step 5: Solve for x
    x = 113,072,858,936.12/389,312
  6. Step 6: Final answer
    x = 290,442.78

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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.