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Finding the Fourth Proportional to 470,344.75, 705,604.62 and 154,823.83

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Solution

The fourth proportional to 470,344.75, 705,604.62 and 154,823.83 is: 232,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,344.75 : 705,604.62 = 154,823.83 : x
  2. Step 2: Convert to fraction form
    470,344.75/705,604.62 = 154,823.83/x
  3. Step 3: Cross multiply
    470,344.75x = 705,604.62 × 154,823.83
  4. Step 4: Simplify right side
    470,344.75x = 109,244,409,734.10
  5. Step 5: Solve for x
    x = 109,244,409,734.10/470,344.75
  6. Step 6: Final answer
    x = 232,264.55

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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.