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Finding the Fourth Proportional to 483,142.32, 724,427.28 and 146,080.80

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Solution

The fourth proportional to 483,142.32, 724,427.28 and 146,080.80 is: 219,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,142.32 : 724,427.28 = 146,080.80 : x
  2. Step 2: Convert to fraction form
    483,142.32/724,427.28 = 146,080.80/x
  3. Step 3: Cross multiply
    483,142.32x = 724,427.28 × 146,080.80
  4. Step 4: Simplify right side
    483,142.32x = 105,824,916,604.22
  5. Step 5: Solve for x
    x = 105,824,916,604.22/483,142.32
  6. Step 6: Final answer
    x = 219,034.67

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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.