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Finding the Fourth Proportional to 301,237.60, 451,856.40 and 194,949.40

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Solution

The fourth proportional to 301,237.60, 451,856.40 and 194,949.40 is: 292,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,237.60 : 451,856.40 = 194,949.40 : x
  2. Step 2: Convert to fraction form
    301,237.60/451,856.40 = 194,949.40/x
  3. Step 3: Cross multiply
    301,237.60x = 451,856.40 × 194,949.40
  4. Step 4: Simplify right side
    301,237.60x = 88,089,134,066.16
  5. Step 5: Solve for x
    x = 88,089,134,066.16/301,237.60
  6. Step 6: Final answer
    x = 292,424.10

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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.