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Finding the Fourth Proportional to 702,141.32, 968,982.50 and 411,712.52

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Solution

The fourth proportional to 702,141.32, 968,982.50 and 411,712.52 is: 568,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,141.32 : 968,982.50 = 411,712.52 : x
  2. Step 2: Convert to fraction form
    702,141.32/968,982.50 = 411,712.52/x
  3. Step 3: Cross multiply
    702,141.32x = 968,982.50 × 411,712.52
  4. Step 4: Simplify right side
    702,141.32x = 398,942,224,852.34
  5. Step 5: Solve for x
    x = 398,942,224,852.34/702,141.32
  6. Step 6: Final answer
    x = 568,179.39

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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.