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Finding the Fourth Proportional to 470,224.40, 705,029.88 and 170,648.24

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Solution

The fourth proportional to 470,224.40, 705,029.88 and 170,648.24 is: 255,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,224.40 : 705,029.88 = 170,648.24 : x
  2. Step 2: Convert to fraction form
    470,224.40/705,029.88 = 170,648.24/x
  3. Step 3: Cross multiply
    470,224.40x = 705,029.88 × 170,648.24
  4. Step 4: Simplify right side
    470,224.40x = 120,312,108,169.41
  5. Step 5: Solve for x
    x = 120,312,108,169.41/470,224.40
  6. Step 6: Final answer
    x = 255,861.05

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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.