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Finding the Fourth Proportional to 397,858.41, 596,781.75 and 98,339.01

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Solution

The fourth proportional to 397,858.41, 596,781.75 and 98,339.01 is: 147,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,858.41 : 596,781.75 = 98,339.01 : x
  2. Step 2: Convert to fraction form
    397,858.41/596,781.75 = 98,339.01/x
  3. Step 3: Cross multiply
    397,858.41x = 596,781.75 × 98,339.01
  4. Step 4: Simplify right side
    397,858.41x = 58,686,926,481.07
  5. Step 5: Solve for x
    x = 58,686,926,481.07/397,858.41
  6. Step 6: Final answer
    x = 147,507.07

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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.