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Finding the Fourth Proportional to 402,506.64, 555,447.43 and 230,418.90

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Solution

The fourth proportional to 402,506.64, 555,447.43 and 230,418.90 is: 317,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,506.64 : 555,447.43 = 230,418.90 : x
  2. Step 2: Convert to fraction form
    402,506.64/555,447.43 = 230,418.90/x
  3. Step 3: Cross multiply
    402,506.64x = 555,447.43 × 230,418.90
  4. Step 4: Simplify right side
    402,506.64x = 127,985,586,382.54
  5. Step 5: Solve for x
    x = 127,985,586,382.54/402,506.64
  6. Step 6: Final answer
    x = 317,971.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.