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Finding the Fourth Proportional to 470,313.94, 649,038 and 255,458.20

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Solution

The fourth proportional to 470,313.94, 649,038 and 255,458.20 is: 352,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,313.94 : 649,038 = 255,458.20 : x
  2. Step 2: Convert to fraction form
    470,313.94/649,038 = 255,458.20/x
  3. Step 3: Cross multiply
    470,313.94x = 649,038 × 255,458.20
  4. Step 4: Simplify right side
    470,313.94x = 165,802,079,211.60
  5. Step 5: Solve for x
    x = 165,802,079,211.60/470,313.94
  6. Step 6: Final answer
    x = 352,534.90

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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.