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Finding the Fourth Proportional to 470,509.92, 705,368.10 and 204,069.77

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Solution

The fourth proportional to 470,509.92, 705,368.10 and 204,069.77 is: 305,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,509.92 : 705,368.10 = 204,069.77 : x
  2. Step 2: Convert to fraction form
    470,509.92/705,368.10 = 204,069.77/x
  3. Step 3: Cross multiply
    470,509.92x = 705,368.10 × 204,069.77
  4. Step 4: Simplify right side
    470,509.92x = 143,944,302,405.50
  5. Step 5: Solve for x
    x = 143,944,302,405.50/470,509.92
  6. Step 6: Final answer
    x = 305,932.56

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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.