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Finding the Fourth Proportional to 301,901.55, 416,624.49 and 165,935.46

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Solution

The fourth proportional to 301,901.55, 416,624.49 and 165,935.46 is: 228,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,901.55 : 416,624.49 = 165,935.46 : x
  2. Step 2: Convert to fraction form
    301,901.55/416,624.49 = 165,935.46/x
  3. Step 3: Cross multiply
    301,901.55x = 416,624.49 × 165,935.46
  4. Step 4: Simplify right side
    301,901.55x = 69,132,776,395.42
  5. Step 5: Solve for x
    x = 69,132,776,395.42/301,901.55
  6. Step 6: Final answer
    x = 228,991.13

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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.