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Finding the Fourth Proportional to 402,829.96, 555,892.64 and 221,541.34

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Solution

The fourth proportional to 402,829.96, 555,892.64 and 221,541.34 is: 305,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,829.96 : 555,892.64 = 221,541.34 : x
  2. Step 2: Convert to fraction form
    402,829.96/555,892.64 = 221,541.34/x
  3. Step 3: Cross multiply
    402,829.96x = 555,892.64 × 221,541.34
  4. Step 4: Simplify right side
    402,829.96x = 123,153,200,361.74
  5. Step 5: Solve for x
    x = 123,153,200,361.74/402,829.96
  6. Step 6: Final answer
    x = 305,720.06

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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.