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Finding the Fourth Proportional to 402,719.84, 555,741.56 and 221,431.60

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Solution

The fourth proportional to 402,719.84, 555,741.56 and 221,431.60 is: 305,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,719.84 : 555,741.56 = 221,431.60 : x
  2. Step 2: Convert to fraction form
    402,719.84/555,741.56 = 221,431.60/x
  3. Step 3: Cross multiply
    402,719.84x = 555,741.56 × 221,431.60
  4. Step 4: Simplify right side
    402,719.84x = 123,058,742,817.30
  5. Step 5: Solve for x
    x = 123,058,742,817.30/402,719.84
  6. Step 6: Final answer
    x = 305,569.11

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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.