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Finding the Fourth Proportional to 702,356.70, 969,256.74 and 411,909.06

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Solution

The fourth proportional to 702,356.70, 969,256.74 and 411,909.06 is: 568,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,356.70 : 969,256.74 = 411,909.06 : x
  2. Step 2: Convert to fraction form
    702,356.70/969,256.74 = 411,909.06/x
  3. Step 3: Cross multiply
    702,356.70x = 969,256.74 × 411,909.06
  4. Step 4: Simplify right side
    702,356.70x = 399,245,627,825.78
  5. Step 5: Solve for x
    x = 399,245,627,825.78/702,356.70
  6. Step 6: Final answer
    x = 568,437.14

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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.