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Finding the Fourth Proportional to 474,144.75, 711,069.48 and 158,527.85

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Solution

The fourth proportional to 474,144.75, 711,069.48 and 158,527.85 is: 237,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,144.75 : 711,069.48 = 158,527.85 : x
  2. Step 2: Convert to fraction form
    474,144.75/711,069.48 = 158,527.85/x
  3. Step 3: Cross multiply
    474,144.75x = 711,069.48 × 158,527.85
  4. Step 4: Simplify right side
    474,144.75x = 112,724,312,309.67
  5. Step 5: Solve for x
    x = 112,724,312,309.67/474,144.75
  6. Step 6: Final answer
    x = 237,742.40

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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.