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Finding the Fourth Proportional to 494,827.60, 742,144.20 and 162,403.60

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Solution

The fourth proportional to 494,827.60, 742,144.20 and 162,403.60 is: 243,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,827.60 : 742,144.20 = 162,403.60 : x
  2. Step 2: Convert to fraction form
    494,827.60/742,144.20 = 162,403.60/x
  3. Step 3: Cross multiply
    494,827.60x = 742,144.20 × 162,403.60
  4. Step 4: Simplify right side
    494,827.60x = 120,526,889,799.12
  5. Step 5: Solve for x
    x = 120,526,889,799.12/494,827.60
  6. Step 6: Final answer
    x = 243,573.50

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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.