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Finding the Fourth Proportional to 309,243.96, 463,078.35 and 203,743.08

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Solution

The fourth proportional to 309,243.96, 463,078.35 and 203,743.08 is: 305,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,243.96 : 463,078.35 = 203,743.08 : x
  2. Step 2: Convert to fraction form
    309,243.96/463,078.35 = 203,743.08/x
  3. Step 3: Cross multiply
    309,243.96x = 463,078.35 × 203,743.08
  4. Step 4: Simplify right side
    309,243.96x = 94,349,009,310.32
  5. Step 5: Solve for x
    x = 94,349,009,310.32/309,243.96
  6. Step 6: Final answer
    x = 305,095.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.