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Finding the Fourth Proportional to 702,356.45, 969,256.40 and 411,908.81

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Solution

The fourth proportional to 702,356.45, 969,256.40 and 411,908.81 is: 568,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,356.45 : 969,256.40 = 411,908.81 : x
  2. Step 2: Convert to fraction form
    702,356.45/969,256.40 = 411,908.81/x
  3. Step 3: Cross multiply
    702,356.45x = 969,256.40 × 411,908.81
  4. Step 4: Simplify right side
    702,356.45x = 399,245,243,403.06
  5. Step 5: Solve for x
    x = 399,245,243,403.06/702,356.45
  6. Step 6: Final answer
    x = 568,436.79

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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.