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Finding the Fourth Proportional to 819,792, 1,131,312.96 and 442,960

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Solution

The fourth proportional to 819,792, 1,131,312.96 and 442,960 is: 611,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,792 : 1,131,312.96 = 442,960 : x
  2. Step 2: Convert to fraction form
    819,792/1,131,312.96 = 442,960/x
  3. Step 3: Cross multiply
    819,792x = 1,131,312.96 × 442,960
  4. Step 4: Simplify right side
    819,792x = 501,126,388,761.60
  5. Step 5: Solve for x
    x = 501,126,388,761.60/819,792
  6. Step 6: Final answer
    x = 611,284.80

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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.