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Finding the Fourth Proportional to 384,964.40, 577,057.80 and 174,753.20

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Solution

The fourth proportional to 384,964.40, 577,057.80 and 174,753.20 is: 261,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,964.40 : 577,057.80 = 174,753.20 : x
  2. Step 2: Convert to fraction form
    384,964.40/577,057.80 = 174,753.20/x
  3. Step 3: Cross multiply
    384,964.40x = 577,057.80 × 174,753.20
  4. Step 4: Simplify right side
    384,964.40x = 100,842,697,134.96
  5. Step 5: Solve for x
    x = 100,842,697,134.96/384,964.40
  6. Step 6: Final answer
    x = 261,953.31

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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.