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Finding the Fourth Proportional to 772,691.54, 1,066,378.16 and 428,638.40

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Solution

The fourth proportional to 772,691.54, 1,066,378.16 and 428,638.40 is: 591,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,691.54 : 1,066,378.16 = 428,638.40 : x
  2. Step 2: Convert to fraction form
    772,691.54/1,066,378.16 = 428,638.40/x
  3. Step 3: Cross multiply
    772,691.54x = 1,066,378.16 × 428,638.40
  4. Step 4: Simplify right side
    772,691.54x = 457,090,624,037.05
  5. Step 5: Solve for x
    x = 457,090,624,037.05/772,691.54
  6. Step 6: Final answer
    x = 591,556.40

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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.