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Finding the Fourth Proportional to 470,817.83, 649,741.43 and 255,972.71

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Solution

The fourth proportional to 470,817.83, 649,741.43 and 255,972.71 is: 353,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,817.83 : 649,741.43 = 255,972.71 : x
  2. Step 2: Convert to fraction form
    470,817.83/649,741.43 = 255,972.71/x
  3. Step 3: Cross multiply
    470,817.83x = 649,741.43 × 255,972.71
  4. Step 4: Simplify right side
    470,817.83x = 166,316,074,636.38
  5. Step 5: Solve for x
    x = 166,316,074,636.38/470,817.83
  6. Step 6: Final answer
    x = 353,249.31

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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.