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Finding the Fourth Proportional to 475,244.82, 711,168.66 and 412,800.71

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Solution

The fourth proportional to 475,244.82, 711,168.66 and 412,800.71 is: 617,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,244.82 : 711,168.66 = 412,800.71 : x
  2. Step 2: Convert to fraction form
    475,244.82/711,168.66 = 412,800.71/x
  3. Step 3: Cross multiply
    475,244.82x = 711,168.66 × 412,800.71
  4. Step 4: Simplify right side
    475,244.82x = 293,570,924,221.91
  5. Step 5: Solve for x
    x = 293,570,924,221.91/475,244.82
  6. Step 6: Final answer
    x = 617,725.67

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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.