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Finding the Fourth Proportional to 746,427, 1,030,069.56 and 424,137.48

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Solution

The fourth proportional to 746,427, 1,030,069.56 and 424,137.48 is: 585,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,427 : 1,030,069.56 = 424,137.48 : x
  2. Step 2: Convert to fraction form
    746,427/1,030,069.56 = 424,137.48/x
  3. Step 3: Cross multiply
    746,427x = 1,030,069.56 × 424,137.48
  4. Step 4: Simplify right side
    746,427x = 436,891,107,403.11
  5. Step 5: Solve for x
    x = 436,891,107,403.11/746,427
  6. Step 6: Final answer
    x = 585,309.89

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Why These Related Problems?

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