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Finding the Fourth Proportional to 407,119.80, 610,679.70 and 281,148.60

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Solution

The fourth proportional to 407,119.80, 610,679.70 and 281,148.60 is: 421,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,119.80 : 610,679.70 = 281,148.60 : x
  2. Step 2: Convert to fraction form
    407,119.80/610,679.70 = 281,148.60/x
  3. Step 3: Cross multiply
    407,119.80x = 610,679.70 × 281,148.60
  4. Step 4: Simplify right side
    407,119.80x = 171,691,742,703.42
  5. Step 5: Solve for x
    x = 171,691,742,703.42/407,119.80
  6. Step 6: Final answer
    x = 421,722.90

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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.