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Finding the Fourth Proportional to 470,038.73, 705,174.73 and 220,429.13

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Solution

The fourth proportional to 470,038.73, 705,174.73 and 220,429.13 is: 330,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,038.73 : 705,174.73 = 220,429.13 : x
  2. Step 2: Convert to fraction form
    470,038.73/705,174.73 = 220,429.13/x
  3. Step 3: Cross multiply
    470,038.73x = 705,174.73 × 220,429.13
  4. Step 4: Simplify right side
    470,038.73x = 155,441,048,154.94
  5. Step 5: Solve for x
    x = 155,441,048,154.94/470,038.73
  6. Step 6: Final answer
    x = 330,698.39

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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.