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Finding the Fourth Proportional to 464,000.20, 697,037.10 and 446,374.60

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Solution

The fourth proportional to 464,000.20, 697,037.10 and 446,374.60 is: 670,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,000.20 : 697,037.10 = 446,374.60 : x
  2. Step 2: Convert to fraction form
    464,000.20/697,037.10 = 446,374.60/x
  3. Step 3: Cross multiply
    464,000.20x = 697,037.10 × 446,374.60
  4. Step 4: Simplify right side
    464,000.20x = 311,139,656,697.66
  5. Step 5: Solve for x
    x = 311,139,656,697.66/464,000.20
  6. Step 6: Final answer
    x = 670,559.32

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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.