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Finding the Fourth Proportional to 470,939.70, 706,409.55 and 155,355.60

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Solution

The fourth proportional to 470,939.70, 706,409.55 and 155,355.60 is: 233,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,939.70 : 706,409.55 = 155,355.60 : x
  2. Step 2: Convert to fraction form
    470,939.70/706,409.55 = 155,355.60/x
  3. Step 3: Cross multiply
    470,939.70x = 706,409.55 × 155,355.60
  4. Step 4: Simplify right side
    470,939.70x = 109,744,679,485.98
  5. Step 5: Solve for x
    x = 109,744,679,485.98/470,939.70
  6. Step 6: Final answer
    x = 233,033.40

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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.