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Finding the Fourth Proportional to 384,872.80, 577,892.40 and 296,226.40

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Solution

The fourth proportional to 384,872.80, 577,892.40 and 296,226.40 is: 444,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,872.80 : 577,892.40 = 296,226.40 : x
  2. Step 2: Convert to fraction form
    384,872.80/577,892.40 = 296,226.40/x
  3. Step 3: Cross multiply
    384,872.80x = 577,892.40 × 296,226.40
  4. Step 4: Simplify right side
    384,872.80x = 171,186,985,239.36
  5. Step 5: Solve for x
    x = 171,186,985,239.36/384,872.80
  6. Step 6: Final answer
    x = 444,788.47

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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.