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Finding the Fourth Proportional to 421,022.32, 581,004.02 and 230,031.60

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Solution

The fourth proportional to 421,022.32, 581,004.02 and 230,031.60 is: 317,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,022.32 : 581,004.02 = 230,031.60 : x
  2. Step 2: Convert to fraction form
    421,022.32/581,004.02 = 230,031.60/x
  3. Step 3: Cross multiply
    421,022.32x = 581,004.02 × 230,031.60
  4. Step 4: Simplify right side
    421,022.32x = 133,649,284,327.03
  5. Step 5: Solve for x
    x = 133,649,284,327.03/421,022.32
  6. Step 6: Final answer
    x = 317,439.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.