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Finding the Fourth Proportional to 405,461.70, 608,200.65 and 105,923.70

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Solution

The fourth proportional to 405,461.70, 608,200.65 and 105,923.70 is: 158,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,461.70 : 608,200.65 = 105,923.70 : x
  2. Step 2: Convert to fraction form
    405,461.70/608,200.65 = 105,923.70/x
  3. Step 3: Cross multiply
    405,461.70x = 608,200.65 × 105,923.70
  4. Step 4: Simplify right side
    405,461.70x = 64,422,863,190.41
  5. Step 5: Solve for x
    x = 64,422,863,190.41/405,461.70
  6. Step 6: Final answer
    x = 158,887.67

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1.5x scale

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.