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Finding the Fourth Proportional to 514,992, 710,532.48 and 324,195.84

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Solution

The fourth proportional to 514,992, 710,532.48 and 324,195.84 is: 447,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,992 : 710,532.48 = 324,195.84 : x
  2. Step 2: Convert to fraction form
    514,992/710,532.48 = 324,195.84/x
  3. Step 3: Cross multiply
    514,992x = 710,532.48 × 324,195.84
  4. Step 4: Simplify right side
    514,992x = 230,351,674,200.88
  5. Step 5: Solve for x
    x = 230,351,674,200.88/514,992
  6. Step 6: Final answer
    x = 447,291.75

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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.