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Finding the Fourth Proportional to 457,495.97, 686,289.57 and 169,384.52

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Solution

The fourth proportional to 457,495.97, 686,289.57 and 169,384.52 is: 254,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,495.97 : 686,289.57 = 169,384.52 : x
  2. Step 2: Convert to fraction form
    457,495.97/686,289.57 = 169,384.52/x
  3. Step 3: Cross multiply
    457,495.97x = 686,289.57 × 169,384.52
  4. Step 4: Simplify right side
    457,495.97x = 116,246,827,270.65
  5. Step 5: Solve for x
    x = 116,246,827,270.65/457,495.97
  6. Step 6: Final answer
    x = 254,093.67

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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.