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Finding the Fourth Proportional to 470,522.16, 705,386.48 and 204,082

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Solution

The fourth proportional to 470,522.16, 705,386.48 and 204,082 is: 305,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.16 : 705,386.48 = 204,082 : x
  2. Step 2: Convert to fraction form
    470,522.16/705,386.48 = 204,082/x
  3. Step 3: Cross multiply
    470,522.16x = 705,386.48 × 204,082
  4. Step 4: Simplify right side
    470,522.16x = 143,956,683,611.36
  5. Step 5: Solve for x
    x = 143,956,683,611.36/470,522.16
  6. Step 6: Final answer
    x = 305,950.91

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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.