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Finding the Fourth Proportional to 452,059.74, 680,796.66 and 411,703.44

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Solution

The fourth proportional to 452,059.74, 680,796.66 and 411,703.44 is: 620,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,059.74 : 680,796.66 = 411,703.44 : x
  2. Step 2: Convert to fraction form
    452,059.74/680,796.66 = 411,703.44/x
  3. Step 3: Cross multiply
    452,059.74x = 680,796.66 × 411,703.44
  4. Step 4: Simplify right side
    452,059.74x = 280,286,326,862.51
  5. Step 5: Solve for x
    x = 280,286,326,862.51/452,059.74
  6. Step 6: Final answer
    x = 620,020.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.