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Finding the Fourth Proportional to 398,710.56, 597,916.80 and 161,973.48

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Solution

The fourth proportional to 398,710.56, 597,916.80 and 161,973.48 is: 242,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,710.56 : 597,916.80 = 161,973.48 : x
  2. Step 2: Convert to fraction form
    398,710.56/597,916.80 = 161,973.48/x
  3. Step 3: Cross multiply
    398,710.56x = 597,916.80 × 161,973.48
  4. Step 4: Simplify right side
    398,710.56x = 96,846,664,846.46
  5. Step 5: Solve for x
    x = 96,846,664,846.46/398,710.56
  6. Step 6: Final answer
    x = 242,899.67

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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.