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Finding the Fourth Proportional to 470,417.60, 649,231.94 and 279,431.76

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Solution

The fourth proportional to 470,417.60, 649,231.94 and 279,431.76 is: 385,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,417.60 : 649,231.94 = 279,431.76 : x
  2. Step 2: Convert to fraction form
    470,417.60/649,231.94 = 279,431.76/x
  3. Step 3: Cross multiply
    470,417.60x = 649,231.94 × 279,431.76
  4. Step 4: Simplify right side
    470,417.60x = 181,416,023,642.41
  5. Step 5: Solve for x
    x = 181,416,023,642.41/470,417.60
  6. Step 6: Final answer
    x = 385,648.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.