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Finding the Fourth Proportional to 347,878.60, 521,126.70 and 189,824.20

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Solution

The fourth proportional to 347,878.60, 521,126.70 and 189,824.20 is: 284,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,878.60 : 521,126.70 = 189,824.20 : x
  2. Step 2: Convert to fraction form
    347,878.60/521,126.70 = 189,824.20/x
  3. Step 3: Cross multiply
    347,878.60x = 521,126.70 × 189,824.20
  4. Step 4: Simplify right side
    347,878.60x = 98,922,458,926.14
  5. Step 5: Solve for x
    x = 98,922,458,926.14/347,878.60
  6. Step 6: Final answer
    x = 284,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.