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Finding the Fourth Proportional to 359,683.49, 496,353.79 and 198,535.07

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Solution

The fourth proportional to 359,683.49, 496,353.79 and 198,535.07 is: 273,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,683.49 : 496,353.79 = 198,535.07 : x
  2. Step 2: Convert to fraction form
    359,683.49/496,353.79 = 198,535.07/x
  3. Step 3: Cross multiply
    359,683.49x = 496,353.79 × 198,535.07
  4. Step 4: Simplify right side
    359,683.49x = 98,543,634,442.42
  5. Step 5: Solve for x
    x = 98,543,634,442.42/359,683.49
  6. Step 6: Final answer
    x = 273,973.19

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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.