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Finding the Fourth Proportional to 774,814.82, 1,069,331.02 and 469,059.66

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Solution

The fourth proportional to 774,814.82, 1,069,331.02 and 469,059.66 is: 647,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,814.82 : 1,069,331.02 = 469,059.66 : x
  2. Step 2: Convert to fraction form
    774,814.82/1,069,331.02 = 469,059.66/x
  3. Step 3: Cross multiply
    774,814.82x = 1,069,331.02 × 469,059.66
  4. Step 4: Simplify right side
    774,814.82x = 501,580,043,496.00
  5. Step 5: Solve for x
    x = 501,580,043,496.00/774,814.82
  6. Step 6: Final answer
    x = 647,354.74

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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.