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Finding the Fourth Proportional to 453,749.14, 680,203.09 and 200,894.91

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Solution

The fourth proportional to 453,749.14, 680,203.09 and 200,894.91 is: 301,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,749.14 : 680,203.09 = 200,894.91 : x
  2. Step 2: Convert to fraction form
    453,749.14/680,203.09 = 200,894.91/x
  3. Step 3: Cross multiply
    453,749.14x = 680,203.09 × 200,894.91
  4. Step 4: Simplify right side
    453,749.14x = 136,649,338,547.27
  5. Step 5: Solve for x
    x = 136,649,338,547.27/453,749.14
  6. Step 6: Final answer
    x = 301,156.14

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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.