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Finding the Fourth Proportional to 468,534.97, 646,577.40 and 253,675

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Solution

The fourth proportional to 468,534.97, 646,577.40 and 253,675 is: 350,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,534.97 : 646,577.40 = 253,675 : x
  2. Step 2: Convert to fraction form
    468,534.97/646,577.40 = 253,675/x
  3. Step 3: Cross multiply
    468,534.97x = 646,577.40 × 253,675
  4. Step 4: Simplify right side
    468,534.97x = 164,020,521,945
  5. Step 5: Solve for x
    x = 164,020,521,945/468,534.97
  6. Step 6: Final answer
    x = 350,071.04

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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.