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Finding the Fourth Proportional to 470,646.72, 705,573.54 and 204,206.76

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Solution

The fourth proportional to 470,646.72, 705,573.54 and 204,206.76 is: 306,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,646.72 : 705,573.54 = 204,206.76 : x
  2. Step 2: Convert to fraction form
    470,646.72/705,573.54 = 204,206.76/x
  3. Step 3: Cross multiply
    470,646.72x = 705,573.54 × 204,206.76
  4. Step 4: Simplify right side
    470,646.72x = 144,082,886,545.13
  5. Step 5: Solve for x
    x = 144,082,886,545.13/470,646.72
  6. Step 6: Final answer
    x = 306,138.09

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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.