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Finding the Fourth Proportional to 491,798.36, 737,551.74 and 211,250

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Solution

The fourth proportional to 491,798.36, 737,551.74 and 211,250 is: 316,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,798.36 : 737,551.74 = 211,250 : x
  2. Step 2: Convert to fraction form
    491,798.36/737,551.74 = 211,250/x
  3. Step 3: Cross multiply
    491,798.36x = 737,551.74 × 211,250
  4. Step 4: Simplify right side
    491,798.36x = 155,807,805,075
  5. Step 5: Solve for x
    x = 155,807,805,075/491,798.36
  6. Step 6: Final answer
    x = 316,812.37

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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.