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Finding the Fourth Proportional to 464,819.80, 697,229.70 and 405,770.80

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Solution

The fourth proportional to 464,819.80, 697,229.70 and 405,770.80 is: 608,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,819.80 : 697,229.70 = 405,770.80 : x
  2. Step 2: Convert to fraction form
    464,819.80/697,229.70 = 405,770.80/x
  3. Step 3: Cross multiply
    464,819.80x = 697,229.70 × 405,770.80
  4. Step 4: Simplify right side
    464,819.80x = 282,915,453,152.76
  5. Step 5: Solve for x
    x = 282,915,453,152.76/464,819.80
  6. Step 6: Final answer
    x = 608,656.20

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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.