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Finding the Fourth Proportional to 595,980.43, 822,430.32 and 324,048.55

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Solution

The fourth proportional to 595,980.43, 822,430.32 and 324,048.55 is: 447,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,980.43 : 822,430.32 = 324,048.55 : x
  2. Step 2: Convert to fraction form
    595,980.43/822,430.32 = 324,048.55/x
  3. Step 3: Cross multiply
    595,980.43x = 822,430.32 × 324,048.55
  4. Step 4: Simplify right side
    595,980.43x = 266,507,353,221.30
  5. Step 5: Solve for x
    x = 266,507,353,221.30/595,980.43
  6. Step 6: Final answer
    x = 447,174.67

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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.