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Finding the Fourth Proportional to 470,537.80, 704,640.30 and 377,225.80

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Solution

The fourth proportional to 470,537.80, 704,640.30 and 377,225.80 is: 564,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,537.80 : 704,640.30 = 377,225.80 : x
  2. Step 2: Convert to fraction form
    470,537.80/704,640.30 = 377,225.80/x
  3. Step 3: Cross multiply
    470,537.80x = 704,640.30 × 377,225.80
  4. Step 4: Simplify right side
    470,537.80x = 265,808,500,879.74
  5. Step 5: Solve for x
    x = 265,808,500,879.74/470,537.80
  6. Step 6: Final answer
    x = 564,903.61

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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.