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Finding the Fourth Proportional to 470,698.20, 705,609.90 and 328,543.20

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Solution

The fourth proportional to 470,698.20, 705,609.90 and 328,543.20 is: 492,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,698.20 : 705,609.90 = 328,543.20 : x
  2. Step 2: Convert to fraction form
    470,698.20/705,609.90 = 328,543.20/x
  3. Step 3: Cross multiply
    470,698.20x = 705,609.90 × 328,543.20
  4. Step 4: Simplify right side
    470,698.20x = 231,823,334,497.68
  5. Step 5: Solve for x
    x = 231,823,334,497.68/470,698.20
  6. Step 6: Final answer
    x = 492,509.50

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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.