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Finding the Fourth Proportional to 299,577.44, 413,419.66 and 170,509.58

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Solution

The fourth proportional to 299,577.44, 413,419.66 and 170,509.58 is: 235,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,577.44 : 413,419.66 = 170,509.58 : x
  2. Step 2: Convert to fraction form
    299,577.44/413,419.66 = 170,509.58/x
  3. Step 3: Cross multiply
    299,577.44x = 413,419.66 × 170,509.58
  4. Step 4: Simplify right side
    299,577.44x = 70,492,013,197.62
  5. Step 5: Solve for x
    x = 70,492,013,197.62/299,577.44
  6. Step 6: Final answer
    x = 235,304.82

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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.