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Finding the Fourth Proportional to 470,891.40, 705,722.70 and 218,142.60

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Solution

The fourth proportional to 470,891.40, 705,722.70 and 218,142.60 is: 326,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,891.40 : 705,722.70 = 218,142.60 : x
  2. Step 2: Convert to fraction form
    470,891.40/705,722.70 = 218,142.60/x
  3. Step 3: Cross multiply
    470,891.40x = 705,722.70 × 218,142.60
  4. Step 4: Simplify right side
    470,891.40x = 153,948,184,657.02
  5. Step 5: Solve for x
    x = 153,948,184,657.02/470,891.40
  6. Step 6: Final answer
    x = 326,929.28

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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.