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Finding the Fourth Proportional to 474,482.25, 711,722.76 and 154,633.64

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Solution

The fourth proportional to 474,482.25, 711,722.76 and 154,633.64 is: 231,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,482.25 : 711,722.76 = 154,633.64 : x
  2. Step 2: Convert to fraction form
    474,482.25/711,722.76 = 154,633.64/x
  3. Step 3: Cross multiply
    474,482.25x = 711,722.76 × 154,633.64
  4. Step 4: Simplify right side
    474,482.25x = 110,056,281,049.65
  5. Step 5: Solve for x
    x = 110,056,281,049.65/474,482.25
  6. Step 6: Final answer
    x = 231,950.26

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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.