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Finding the Fourth Proportional to 452,016.47, 678,002.70 and 167,762.36

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Solution

The fourth proportional to 452,016.47, 678,002.70 and 167,762.36 is: 251,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,016.47 : 678,002.70 = 167,762.36 : x
  2. Step 2: Convert to fraction form
    452,016.47/678,002.70 = 167,762.36/x
  3. Step 3: Cross multiply
    452,016.47x = 678,002.70 × 167,762.36
  4. Step 4: Simplify right side
    452,016.47x = 113,743,333,038.37
  5. Step 5: Solve for x
    x = 113,743,333,038.37/452,016.47
  6. Step 6: Final answer
    x = 251,635.37

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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.