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Finding the Fourth Proportional to 364,035.50, 546,102.47 and 341,892.12

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Solution

The fourth proportional to 364,035.50, 546,102.47 and 341,892.12 is: 512,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,035.50 : 546,102.47 = 341,892.12 : x
  2. Step 2: Convert to fraction form
    364,035.50/546,102.47 = 341,892.12/x
  3. Step 3: Cross multiply
    364,035.50x = 546,102.47 × 341,892.12
  4. Step 4: Simplify right side
    364,035.50x = 186,708,134,108.15
  5. Step 5: Solve for x
    x = 186,708,134,108.15/364,035.50
  6. Step 6: Final answer
    x = 512,884.42

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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.