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Finding the Fourth Proportional to 453,530.30, 680,448.54 and 200,775.92

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Solution

The fourth proportional to 453,530.30, 680,448.54 and 200,775.92 is: 301,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,530.30 : 680,448.54 = 200,775.92 : x
  2. Step 2: Convert to fraction form
    453,530.30/680,448.54 = 200,775.92/x
  3. Step 3: Cross multiply
    453,530.30x = 680,448.54 × 200,775.92
  4. Step 4: Simplify right side
    453,530.30x = 136,617,681,631.16
  5. Step 5: Solve for x
    x = 136,617,681,631.16/453,530.30
  6. Step 6: Final answer
    x = 301,231.65

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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.