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Finding the Fourth Proportional to 359,683.80, 496,363.74 and 198,538.96

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Solution

The fourth proportional to 359,683.80, 496,363.74 and 198,538.96 is: 273,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,683.80 : 496,363.74 = 198,538.96 : x
  2. Step 2: Convert to fraction form
    359,683.80/496,363.74 = 198,538.96/x
  3. Step 3: Cross multiply
    359,683.80x = 496,363.74 × 198,538.96
  4. Step 4: Simplify right side
    359,683.80x = 98,547,540,721.31
  5. Step 5: Solve for x
    x = 98,547,540,721.31/359,683.80
  6. Step 6: Final answer
    x = 273,983.82

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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.