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Finding the Fourth Proportional to 397,968.37, 549,107.45 and 333,697.57

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Solution

The fourth proportional to 397,968.37, 549,107.45 and 333,697.57 is: 460,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,968.37 : 549,107.45 = 333,697.57 : x
  2. Step 2: Convert to fraction form
    397,968.37/549,107.45 = 333,697.57/x
  3. Step 3: Cross multiply
    397,968.37x = 549,107.45 × 333,697.57
  4. Step 4: Simplify right side
    397,968.37x = 183,235,820,065.41
  5. Step 5: Solve for x
    x = 183,235,820,065.41/397,968.37
  6. Step 6: Final answer
    x = 460,428.10

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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.