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Finding the Fourth Proportional to 452,045.90, 678,396.54 and 167,776.91

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Solution

The fourth proportional to 452,045.90, 678,396.54 and 167,776.91 is: 251,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,045.90 : 678,396.54 = 167,776.91 : x
  2. Step 2: Convert to fraction form
    452,045.90/678,396.54 = 167,776.91/x
  3. Step 3: Cross multiply
    452,045.90x = 678,396.54 × 167,776.91
  4. Step 4: Simplify right side
    452,045.90x = 113,819,275,235.89
  5. Step 5: Solve for x
    x = 113,819,275,235.89/452,045.90
  6. Step 6: Final answer
    x = 251,786.99

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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.