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Finding the Fourth Proportional to 470,795.33, 649,087.74 and 304,928.19

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Solution

The fourth proportional to 470,795.33, 649,087.74 and 304,928.19 is: 420,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,795.33 : 649,087.74 = 304,928.19 : x
  2. Step 2: Convert to fraction form
    470,795.33/649,087.74 = 304,928.19/x
  3. Step 3: Cross multiply
    470,795.33x = 649,087.74 × 304,928.19
  4. Step 4: Simplify right side
    470,795.33x = 197,925,144,939.31
  5. Step 5: Solve for x
    x = 197,925,144,939.31/470,795.33
  6. Step 6: Final answer
    x = 420,405.93

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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.