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Finding the Fourth Proportional to 474,389.44, 711,863.52 and 175,080.64

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Solution

The fourth proportional to 474,389.44, 711,863.52 and 175,080.64 is: 262,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,389.44 : 711,863.52 = 175,080.64 : x
  2. Step 2: Convert to fraction form
    474,389.44/711,863.52 = 175,080.64/x
  3. Step 3: Cross multiply
    474,389.44x = 711,863.52 × 175,080.64
  4. Step 4: Simplify right side
    474,389.44x = 124,633,520,674.25
  5. Step 5: Solve for x
    x = 124,633,520,674.25/474,389.44
  6. Step 6: Final answer
    x = 262,724.06

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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.