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Finding the Fourth Proportional to 453,698.01, 680,464.40 and 133,783.65

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Solution

The fourth proportional to 453,698.01, 680,464.40 and 133,783.65 is: 200,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,698.01 : 680,464.40 = 133,783.65 : x
  2. Step 2: Convert to fraction form
    453,698.01/680,464.40 = 133,783.65/x
  3. Step 3: Cross multiply
    453,698.01x = 680,464.40 × 133,783.65
  4. Step 4: Simplify right side
    453,698.01x = 91,035,010,458.14
  5. Step 5: Solve for x
    x = 91,035,010,458.14/453,698.01
  6. Step 6: Final answer
    x = 200,651.11

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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.