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Finding the Fourth Proportional to 359,681.97, 496,361.15 and 198,537.06

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Solution

The fourth proportional to 359,681.97, 496,361.15 and 198,537.06 is: 273,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,681.97 : 496,361.15 = 198,537.06 : x
  2. Step 2: Convert to fraction form
    359,681.97/496,361.15 = 198,537.06/x
  3. Step 3: Cross multiply
    359,681.97x = 496,361.15 × 198,537.06
  4. Step 4: Simplify right side
    359,681.97x = 98,546,083,419.22
  5. Step 5: Solve for x
    x = 98,546,083,419.22/359,681.97
  6. Step 6: Final answer
    x = 273,981.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.