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Finding the Fourth Proportional to 460,065, 634,794.12 and 269,041.44

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Solution

The fourth proportional to 460,065, 634,794.12 and 269,041.44 is: 371,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,065 : 634,794.12 = 269,041.44 : x
  2. Step 2: Convert to fraction form
    460,065/634,794.12 = 269,041.44/x
  3. Step 3: Cross multiply
    460,065x = 634,794.12 × 269,041.44
  4. Step 4: Simplify right side
    460,065x = 170,785,924,148.33
  5. Step 5: Solve for x
    x = 170,785,924,148.33/460,065
  6. Step 6: Final answer
    x = 371,221.29

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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.