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Finding the Fourth Proportional to 464,037.20, 697,092.60 and 446,411.60

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Solution

The fourth proportional to 464,037.20, 697,092.60 and 446,411.60 is: 670,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,037.20 : 697,092.60 = 446,411.60 : x
  2. Step 2: Convert to fraction form
    464,037.20/697,092.60 = 446,411.60/x
  3. Step 3: Cross multiply
    464,037.20x = 697,092.60 × 446,411.60
  4. Step 4: Simplify right side
    464,037.20x = 311,190,222,914.16
  5. Step 5: Solve for x
    x = 311,190,222,914.16/464,037.20
  6. Step 6: Final answer
    x = 670,614.82

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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.