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Finding the Fourth Proportional to 702,140.07, 968,980.77 and 411,711.27

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Solution

The fourth proportional to 702,140.07, 968,980.77 and 411,711.27 is: 568,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,140.07 : 968,980.77 = 411,711.27 : x
  2. Step 2: Convert to fraction form
    702,140.07/968,980.77 = 411,711.27/x
  3. Step 3: Cross multiply
    702,140.07x = 968,980.77 × 411,711.27
  4. Step 4: Simplify right side
    702,140.07x = 398,940,303,422.28
  5. Step 5: Solve for x
    x = 398,940,303,422.28/702,140.07
  6. Step 6: Final answer
    x = 568,177.66

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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.