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Finding the Fourth Proportional to 468,950.28, 703,523.80 and 153,382.56

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Solution

The fourth proportional to 468,950.28, 703,523.80 and 153,382.56 is: 230,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,950.28 : 703,523.80 = 153,382.56 : x
  2. Step 2: Convert to fraction form
    468,950.28/703,523.80 = 153,382.56/x
  3. Step 3: Cross multiply
    468,950.28x = 703,523.80 × 153,382.56
  4. Step 4: Simplify right side
    468,950.28x = 107,908,281,464.93
  5. Step 5: Solve for x
    x = 107,908,281,464.93/468,950.28
  6. Step 6: Final answer
    x = 230,106.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.