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Finding the Fourth Proportional to 317,803.34, 438,571.24 and 174,566.64

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Solution

The fourth proportional to 317,803.34, 438,571.24 and 174,566.64 is: 240,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,803.34 : 438,571.24 = 174,566.64 : x
  2. Step 2: Convert to fraction form
    317,803.34/438,571.24 = 174,566.64/x
  3. Step 3: Cross multiply
    317,803.34x = 438,571.24 × 174,566.64
  4. Step 4: Simplify right side
    317,803.34x = 76,559,907,767.43
  5. Step 5: Solve for x
    x = 76,559,907,767.43/317,803.34
  6. Step 6: Final answer
    x = 240,903.41

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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.