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Finding the Fourth Proportional to 473,264.82, 653,796.36 and 409,491.90

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Solution

The fourth proportional to 473,264.82, 653,796.36 and 409,491.90 is: 565,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,264.82 : 653,796.36 = 409,491.90 : x
  2. Step 2: Convert to fraction form
    473,264.82/653,796.36 = 409,491.90/x
  3. Step 3: Cross multiply
    473,264.82x = 653,796.36 × 409,491.90
  4. Step 4: Simplify right side
    473,264.82x = 267,724,313,669.48
  5. Step 5: Solve for x
    x = 267,724,313,669.48/473,264.82
  6. Step 6: Final answer
    x = 565,696.63

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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.