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Finding the Fourth Proportional to 470,443.80, 705,709.46 and 133,492.71

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Solution

The fourth proportional to 470,443.80, 705,709.46 and 133,492.71 is: 200,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,443.80 : 705,709.46 = 133,492.71 : x
  2. Step 2: Convert to fraction form
    470,443.80/705,709.46 = 133,492.71/x
  3. Step 3: Cross multiply
    470,443.80x = 705,709.46 × 133,492.71
  4. Step 4: Simplify right side
    470,443.80x = 94,207,068,288.04
  5. Step 5: Solve for x
    x = 94,207,068,288.04/470,443.80
  6. Step 6: Final answer
    x = 200,251.48

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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.