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Finding the Fourth Proportional to 415,164.20, 623,912.70 and 363,842.60

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Solution

The fourth proportional to 415,164.20, 623,912.70 and 363,842.60 is: 546,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,164.20 : 623,912.70 = 363,842.60 : x
  2. Step 2: Convert to fraction form
    415,164.20/623,912.70 = 363,842.60/x
  3. Step 3: Cross multiply
    415,164.20x = 623,912.70 × 363,842.60
  4. Step 4: Simplify right side
    415,164.20x = 227,006,018,941.02
  5. Step 5: Solve for x
    x = 227,006,018,941.02/415,164.20
  6. Step 6: Final answer
    x = 546,786.11

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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.