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Finding the Fourth Proportional to 508,199.39, 701,313.19 and 314,568.50

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Solution

The fourth proportional to 508,199.39, 701,313.19 and 314,568.50 is: 434,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,199.39 : 701,313.19 = 314,568.50 : x
  2. Step 2: Convert to fraction form
    508,199.39/701,313.19 = 314,568.50/x
  3. Step 3: Cross multiply
    508,199.39x = 701,313.19 × 314,568.50
  4. Step 4: Simplify right side
    508,199.39x = 220,611,036,635.67
  5. Step 5: Solve for x
    x = 220,611,036,635.67/508,199.39
  6. Step 6: Final answer
    x = 434,103.31

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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.