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Finding the Fourth Proportional to 470,522.40, 705,386.76 and 204,082.21

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Solution

The fourth proportional to 470,522.40, 705,386.76 and 204,082.21 is: 305,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.40 : 705,386.76 = 204,082.21 : x
  2. Step 2: Convert to fraction form
    470,522.40/705,386.76 = 204,082.21/x
  3. Step 3: Cross multiply
    470,522.40x = 705,386.76 × 204,082.21
  4. Step 4: Simplify right side
    470,522.40x = 143,956,888,885.54
  5. Step 5: Solve for x
    x = 143,956,888,885.54/470,522.40
  6. Step 6: Final answer
    x = 305,951.19

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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.