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Finding the Fourth Proportional to 253,314.65, 380,407.10 and 224,915.55

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Solution

The fourth proportional to 253,314.65, 380,407.10 and 224,915.55 is: 337,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,314.65 : 380,407.10 = 224,915.55 : x
  2. Step 2: Convert to fraction form
    253,314.65/380,407.10 = 224,915.55/x
  3. Step 3: Cross multiply
    253,314.65x = 380,407.10 × 224,915.55
  4. Step 4: Simplify right side
    253,314.65x = 85,559,470,995.83
  5. Step 5: Solve for x
    x = 85,559,470,995.83/253,314.65
  6. Step 6: Final answer
    x = 337,759.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.