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Finding the Fourth Proportional to 702,141.95, 968,983.36 and 411,713.15

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Solution

The fourth proportional to 702,141.95, 968,983.36 and 411,713.15 is: 568,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,141.95 : 968,983.36 = 411,713.15 : x
  2. Step 2: Convert to fraction form
    702,141.95/968,983.36 = 411,713.15/x
  3. Step 3: Cross multiply
    702,141.95x = 968,983.36 × 411,713.15
  4. Step 4: Simplify right side
    702,141.95x = 398,943,185,568.98
  5. Step 5: Solve for x
    x = 398,943,185,568.98/702,141.95
  6. Step 6: Final answer
    x = 568,180.25

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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.