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Finding the Fourth Proportional to 300,742.24, 414,077.52 and 255,330.40

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Solution

The fourth proportional to 300,742.24, 414,077.52 and 255,330.40 is: 351,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,742.24 : 414,077.52 = 255,330.40 : x
  2. Step 2: Convert to fraction form
    300,742.24/414,077.52 = 255,330.40/x
  3. Step 3: Cross multiply
    300,742.24x = 414,077.52 × 255,330.40
  4. Step 4: Simplify right side
    300,742.24x = 105,726,578,812.61
  5. Step 5: Solve for x
    x = 105,726,578,812.61/300,742.24
  6. Step 6: Final answer
    x = 351,552.14

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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.