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Finding the Fourth Proportional to 364,477.20, 546,715.80 and 313,738.80

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Solution

The fourth proportional to 364,477.20, 546,715.80 and 313,738.80 is: 470,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,477.20 : 546,715.80 = 313,738.80 : x
  2. Step 2: Convert to fraction form
    364,477.20/546,715.80 = 313,738.80/x
  3. Step 3: Cross multiply
    364,477.20x = 546,715.80 × 313,738.80
  4. Step 4: Simplify right side
    364,477.20x = 171,525,959,033.04
  5. Step 5: Solve for x
    x = 171,525,959,033.04/364,477.20
  6. Step 6: Final answer
    x = 470,608.20

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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.