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Finding the Fourth Proportional to 464,896.80, 697,345.20 and 314,321.85

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Solution

The fourth proportional to 464,896.80, 697,345.20 and 314,321.85 is: 471,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,896.80 : 697,345.20 = 314,321.85 : x
  2. Step 2: Convert to fraction form
    464,896.80/697,345.20 = 314,321.85/x
  3. Step 3: Cross multiply
    464,896.80x = 697,345.20 × 314,321.85
  4. Step 4: Simplify right side
    464,896.80x = 219,190,833,352.62
  5. Step 5: Solve for x
    x = 219,190,833,352.62/464,896.80
  6. Step 6: Final answer
    x = 471,482.78

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Similar ratio
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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.