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Finding the Fourth Proportional to 359,482.92, 496,083.14 and 198,339.40

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Solution

The fourth proportional to 359,482.92, 496,083.14 and 198,339.40 is: 273,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,482.92 : 496,083.14 = 198,339.40 : x
  2. Step 2: Convert to fraction form
    359,482.92/496,083.14 = 198,339.40/x
  3. Step 3: Cross multiply
    359,482.92x = 496,083.14 × 198,339.40
  4. Step 4: Simplify right side
    359,482.92x = 98,392,832,337.72
  5. Step 5: Solve for x
    x = 98,392,832,337.72/359,482.92
  6. Step 6: Final answer
    x = 273,706.56

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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.