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Finding the Fourth Proportional to 299,577.81, 413,420.18 and 170,509.96

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Solution

The fourth proportional to 299,577.81, 413,420.18 and 170,509.96 is: 235,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,577.81 : 413,420.18 = 170,509.96 : x
  2. Step 2: Convert to fraction form
    299,577.81/413,420.18 = 170,509.96/x
  3. Step 3: Cross multiply
    299,577.81x = 413,420.18 × 170,509.96
  4. Step 4: Simplify right side
    299,577.81x = 70,492,258,354.99
  5. Step 5: Solve for x
    x = 70,492,258,354.99/299,577.81
  6. Step 6: Final answer
    x = 235,305.34

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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.