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Finding the Fourth Proportional to 351,186, 484,482.24 and 205,917.63

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Solution

The fourth proportional to 351,186, 484,482.24 and 205,917.63 is: 284,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,186 : 484,482.24 = 205,917.63 : x
  2. Step 2: Convert to fraction form
    351,186/484,482.24 = 205,917.63/x
  3. Step 3: Cross multiply
    351,186x = 484,482.24 × 205,917.63
  4. Step 4: Simplify right side
    351,186x = 99,763,434,637.89
  5. Step 5: Solve for x
    x = 99,763,434,637.89/351,186
  6. Step 6: Final answer
    x = 284,075.77

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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.