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Finding the Fourth Proportional to 289,399.96, 399,374.76 and 160,341.16

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Solution

The fourth proportional to 289,399.96, 399,374.76 and 160,341.16 is: 221,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,399.96 : 399,374.76 = 160,341.16 : x
  2. Step 2: Convert to fraction form
    289,399.96/399,374.76 = 160,341.16/x
  3. Step 3: Cross multiply
    289,399.96x = 399,374.76 × 160,341.16
  4. Step 4: Simplify right side
    289,399.96x = 64,036,212,293.12
  5. Step 5: Solve for x
    x = 64,036,212,293.12/289,399.96
  6. Step 6: Final answer
    x = 221,272.36

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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.