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Finding the Fourth Proportional to 716,806.59, 989,185.62 and 394,509.78

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Solution

The fourth proportional to 716,806.59, 989,185.62 and 394,509.78 is: 544,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,806.59 : 989,185.62 = 394,509.78 : x
  2. Step 2: Convert to fraction form
    716,806.59/989,185.62 = 394,509.78/x
  3. Step 3: Cross multiply
    716,806.59x = 989,185.62 × 394,509.78
  4. Step 4: Simplify right side
    716,806.59x = 390,243,401,325.36
  5. Step 5: Solve for x
    x = 390,243,401,325.36/716,806.59
  6. Step 6: Final answer
    x = 544,419.38

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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.