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Finding the Fourth Proportional to 517,770.12, 776,743.74 and 237,311.40

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Solution

The fourth proportional to 517,770.12, 776,743.74 and 237,311.40 is: 356,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,770.12 : 776,743.74 = 237,311.40 : x
  2. Step 2: Convert to fraction form
    517,770.12/776,743.74 = 237,311.40/x
  3. Step 3: Cross multiply
    517,770.12x = 776,743.74 × 237,311.40
  4. Step 4: Simplify right side
    517,770.12x = 184,330,144,380.64
  5. Step 5: Solve for x
    x = 184,330,144,380.64/517,770.12
  6. Step 6: Final answer
    x = 356,007.69

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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.