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Finding the Fourth Proportional to 317,455.29, 438,107.99 and 209,838.69

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Solution

The fourth proportional to 317,455.29, 438,107.99 and 209,838.69 is: 289,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,455.29 : 438,107.99 = 209,838.69 : x
  2. Step 2: Convert to fraction form
    317,455.29/438,107.99 = 209,838.69/x
  3. Step 3: Cross multiply
    317,455.29x = 438,107.99 × 209,838.69
  4. Step 4: Simplify right side
    317,455.29x = 91,932,005,650.94
  5. Step 5: Solve for x
    x = 91,932,005,650.94/317,455.29
  6. Step 6: Final answer
    x = 289,590.40

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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.