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Finding the Fourth Proportional to 230,583.84, 343,583.46 and 205,430.61

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Solution

The fourth proportional to 230,583.84, 343,583.46 and 205,430.61 is: 306,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,583.84 : 343,583.46 = 205,430.61 : x
  2. Step 2: Convert to fraction form
    230,583.84/343,583.46 = 205,430.61/x
  3. Step 3: Cross multiply
    230,583.84x = 343,583.46 × 205,430.61
  4. Step 4: Simplify right side
    230,583.84x = 70,582,559,773.71
  5. Step 5: Solve for x
    x = 70,582,559,773.71/230,583.84
  6. Step 6: Final answer
    x = 306,103.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.