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Finding the Fourth Proportional to 296,513.66, 409,187.12 and 160,544.81

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Solution

The fourth proportional to 296,513.66, 409,187.12 and 160,544.81 is: 221,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,513.66 : 409,187.12 = 160,544.81 : x
  2. Step 2: Convert to fraction form
    296,513.66/409,187.12 = 160,544.81/x
  3. Step 3: Cross multiply
    296,513.66x = 409,187.12 × 160,544.81
  4. Step 4: Simplify right side
    296,513.66x = 65,692,867,955.78
  5. Step 5: Solve for x
    x = 65,692,867,955.78/296,513.66
  6. Step 6: Final answer
    x = 221,550.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.