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Finding the Fourth Proportional to 301,123.28, 414,507.18 and 260,268.80

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Solution

The fourth proportional to 301,123.28, 414,507.18 and 260,268.80 is: 358,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,123.28 : 414,507.18 = 260,268.80 : x
  2. Step 2: Convert to fraction form
    301,123.28/414,507.18 = 260,268.80/x
  3. Step 3: Cross multiply
    301,123.28x = 414,507.18 × 260,268.80
  4. Step 4: Simplify right side
    301,123.28x = 107,883,286,329.98
  5. Step 5: Solve for x
    x = 107,883,286,329.98/301,123.28
  6. Step 6: Final answer
    x = 358,269.50

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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.