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Finding the Fourth Proportional to 647,761.74, 893,448.42 and 561,566.60

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Solution

The fourth proportional to 647,761.74, 893,448.42 and 561,566.60 is: 774,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,761.74 : 893,448.42 = 561,566.60 : x
  2. Step 2: Convert to fraction form
    647,761.74/893,448.42 = 561,566.60/x
  3. Step 3: Cross multiply
    647,761.74x = 893,448.42 × 561,566.60
  4. Step 4: Simplify right side
    647,761.74x = 501,730,788,272.09
  5. Step 5: Solve for x
    x = 501,730,788,272.09/647,761.74
  6. Step 6: Final answer
    x = 774,560.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.