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Finding the Fourth Proportional to 453,577.32, 680,519.74 and 200,823

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Solution

The fourth proportional to 453,577.32, 680,519.74 and 200,823 is: 301,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,577.32 : 680,519.74 = 200,823 : x
  2. Step 2: Convert to fraction form
    453,577.32/680,519.74 = 200,823/x
  3. Step 3: Cross multiply
    453,577.32x = 680,519.74 × 200,823
  4. Step 4: Simplify right side
    453,577.32x = 136,664,015,746.02
  5. Step 5: Solve for x
    x = 136,664,015,746.02/453,577.32
  6. Step 6: Final answer
    x = 301,302.58

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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.