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Finding the Fourth Proportional to 771,543.83, 1,064,745.61 and 461,765.41

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Solution

The fourth proportional to 771,543.83, 1,064,745.61 and 461,765.41 is: 637,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,543.83 : 1,064,745.61 = 461,765.41 : x
  2. Step 2: Convert to fraction form
    771,543.83/1,064,745.61 = 461,765.41/x
  3. Step 3: Cross multiply
    771,543.83x = 1,064,745.61 × 461,765.41
  4. Step 4: Simplify right side
    771,543.83x = 491,662,689,331.07
  5. Step 5: Solve for x
    x = 491,662,689,331.07/771,543.83
  6. Step 6: Final answer
    x = 637,245.31

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