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Finding the Fourth Proportional to 359,517, 496,133.46 and 200,541

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Solution

The fourth proportional to 359,517, 496,133.46 and 200,541 is: 276,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,517 : 496,133.46 = 200,541 : x
  2. Step 2: Convert to fraction form
    359,517/496,133.46 = 200,541/x
  3. Step 3: Cross multiply
    359,517x = 496,133.46 × 200,541
  4. Step 4: Simplify right side
    359,517x = 99,495,100,201.86
  5. Step 5: Solve for x
    x = 99,495,100,201.86/359,517
  6. Step 6: Final answer
    x = 276,746.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.