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Finding the Fourth Proportional to 454,193.42, 680,647.45 and 251,878.51

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Solution

The fourth proportional to 454,193.42, 680,647.45 and 251,878.51 is: 377,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,193.42 : 680,647.45 = 251,878.51 : x
  2. Step 2: Convert to fraction form
    454,193.42/680,647.45 = 251,878.51/x
  3. Step 3: Cross multiply
    454,193.42x = 680,647.45 × 251,878.51
  4. Step 4: Simplify right side
    454,193.42x = 171,440,465,541.30
  5. Step 5: Solve for x
    x = 171,440,465,541.30/454,193.42
  6. Step 6: Final answer
    x = 377,461.36

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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.