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Finding the Fourth Proportional to 359,681.34, 496,360.28 and 198,536.43

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Solution

The fourth proportional to 359,681.34, 496,360.28 and 198,536.43 is: 273,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,681.34 : 496,360.28 = 198,536.43 : x
  2. Step 2: Convert to fraction form
    359,681.34/496,360.28 = 198,536.43/x
  3. Step 3: Cross multiply
    359,681.34x = 496,360.28 × 198,536.43
  4. Step 4: Simplify right side
    359,681.34x = 98,545,597,985.00
  5. Step 5: Solve for x
    x = 98,545,597,985.00/359,681.34
  6. Step 6: Final answer
    x = 273,980.29

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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.