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Finding the Fourth Proportional to 823,824, 1,136,894.40 and 466,128

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Solution

The fourth proportional to 823,824, 1,136,894.40 and 466,128 is: 643,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,824 : 1,136,894.40 = 466,128 : x
  2. Step 2: Convert to fraction form
    823,824/1,136,894.40 = 466,128/x
  3. Step 3: Cross multiply
    823,824x = 1,136,894.40 × 466,128
  4. Step 4: Simplify right side
    823,824x = 529,938,312,883.20
  5. Step 5: Solve for x
    x = 529,938,312,883.20/823,824
  6. Step 6: Final answer
    x = 643,266.42

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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.