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Finding the Fourth Proportional to 453,876.12, 680,498.01 and 201,019.14

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Solution

The fourth proportional to 453,876.12, 680,498.01 and 201,019.14 is: 301,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,876.12 : 680,498.01 = 201,019.14 : x
  2. Step 2: Convert to fraction form
    453,876.12/680,498.01 = 201,019.14/x
  3. Step 3: Cross multiply
    453,876.12x = 680,498.01 × 201,019.14
  4. Step 4: Simplify right side
    453,876.12x = 136,793,124,741.91
  5. Step 5: Solve for x
    x = 136,793,124,741.91/453,876.12
  6. Step 6: Final answer
    x = 301,388.68

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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.