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Finding the Fourth Proportional to 359,817.58, 496,538.80 and 198,669.16

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Solution

The fourth proportional to 359,817.58, 496,538.80 and 198,669.16 is: 274,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,817.58 : 496,538.80 = 198,669.16 : x
  2. Step 2: Convert to fraction form
    359,817.58/496,538.80 = 198,669.16/x
  3. Step 3: Cross multiply
    359,817.58x = 496,538.80 × 198,669.16
  4. Step 4: Simplify right side
    359,817.58x = 98,646,946,303.41
  5. Step 5: Solve for x
    x = 98,646,946,303.41/359,817.58
  6. Step 6: Final answer
    x = 274,158.22

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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.