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Finding the Fourth Proportional to 841,278, 1,261,919.70 and 210,191.88

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Solution

The fourth proportional to 841,278, 1,261,919.70 and 210,191.88 is: 315,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,278 : 1,261,919.70 = 210,191.88 : x
  2. Step 2: Convert to fraction form
    841,278/1,261,919.70 = 210,191.88/x
  3. Step 3: Cross multiply
    841,278x = 1,261,919.70 × 210,191.88
  4. Step 4: Simplify right side
    841,278x = 265,245,274,152.04
  5. Step 5: Solve for x
    x = 265,245,274,152.04/841,278
  6. Step 6: Final answer
    x = 315,288.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.