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Finding the Fourth Proportional to 317,604.91, 438,289.32 and 174,363.93

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Solution

The fourth proportional to 317,604.91, 438,289.32 and 174,363.93 is: 240,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,604.91 : 438,289.32 = 174,363.93 : x
  2. Step 2: Convert to fraction form
    317,604.91/438,289.32 = 174,363.93/x
  3. Step 3: Cross multiply
    317,604.91x = 438,289.32 × 174,363.93
  4. Step 4: Simplify right side
    317,604.91x = 76,421,848,227.15
  5. Step 5: Solve for x
    x = 76,421,848,227.15/317,604.91
  6. Step 6: Final answer
    x = 240,619.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.