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Finding the Fourth Proportional to 359,744, 496,454.64 and 198,598.64

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Solution

The fourth proportional to 359,744, 496,454.64 and 198,598.64 is: 274,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,744 : 496,454.64 = 198,598.64 : x
  2. Step 2: Convert to fraction form
    359,744/496,454.64 = 198,598.64/x
  3. Step 3: Cross multiply
    359,744x = 496,454.64 × 198,598.64
  4. Step 4: Simplify right side
    359,744x = 98,595,216,325.69
  5. Step 5: Solve for x
    x = 98,595,216,325.69/359,744
  6. Step 6: Final answer
    x = 274,070.50

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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.