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Finding the Fourth Proportional to 470,607.83, 705,928.29 and 150,769.40

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Solution

The fourth proportional to 470,607.83, 705,928.29 and 150,769.40 is: 226,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,607.83 : 705,928.29 = 150,769.40 : x
  2. Step 2: Convert to fraction form
    470,607.83/705,928.29 = 150,769.40/x
  3. Step 3: Cross multiply
    470,607.83x = 705,928.29 × 150,769.40
  4. Step 4: Simplify right side
    470,607.83x = 106,432,383,972.48
  5. Step 5: Solve for x
    x = 106,432,383,972.48/470,607.83
  6. Step 6: Final answer
    x = 226,159.40

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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.