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Finding the Fourth Proportional to 314,553.60, 470,793.60 and 244,051.20

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Solution

The fourth proportional to 314,553.60, 470,793.60 and 244,051.20 is: 365,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,553.60 : 470,793.60 = 244,051.20 : x
  2. Step 2: Convert to fraction form
    314,553.60/470,793.60 = 244,051.20/x
  3. Step 3: Cross multiply
    314,553.60x = 470,793.60 × 244,051.20
  4. Step 4: Simplify right side
    314,553.60x = 114,897,743,032.32
  5. Step 5: Solve for x
    x = 114,897,743,032.32/314,553.60
  6. Step 6: Final answer
    x = 365,272.38

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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.