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Finding the Fourth Proportional to 282,608.64, 389,903.46 and 175,139.46

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Solution

The fourth proportional to 282,608.64, 389,903.46 and 175,139.46 is: 241,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,608.64 : 389,903.46 = 175,139.46 : x
  2. Step 2: Convert to fraction form
    282,608.64/389,903.46 = 175,139.46/x
  3. Step 3: Cross multiply
    282,608.64x = 389,903.46 × 175,139.46
  4. Step 4: Simplify right side
    282,608.64x = 68,287,481,436.53
  5. Step 5: Solve for x
    x = 68,287,481,436.53/282,608.64
  6. Step 6: Final answer
    x = 241,632.67

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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.