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Finding the Fourth Proportional to 309,269.79, 463,117.16 and 203,768.91

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Solution

The fourth proportional to 309,269.79, 463,117.16 and 203,768.91 is: 305,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,269.79 : 463,117.16 = 203,768.91 : x
  2. Step 2: Convert to fraction form
    309,269.79/463,117.16 = 203,768.91/x
  3. Step 3: Cross multiply
    309,269.79x = 463,117.16 × 203,768.91
  4. Step 4: Simplify right side
    309,269.79x = 94,368,879,404.92
  5. Step 5: Solve for x
    x = 94,368,879,404.92/309,269.79
  6. Step 6: Final answer
    x = 305,134.49

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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.