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Finding the Fourth Proportional to 303,065.64, 418,322.34 and 175,772.52

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Solution

The fourth proportional to 303,065.64, 418,322.34 and 175,772.52 is: 242,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,065.64 : 418,322.34 = 175,772.52 : x
  2. Step 2: Convert to fraction form
    303,065.64/418,322.34 = 175,772.52/x
  3. Step 3: Cross multiply
    303,065.64x = 418,322.34 × 175,772.52
  4. Step 4: Simplify right side
    303,065.64x = 73,529,571,874.10
  5. Step 5: Solve for x
    x = 73,529,571,874.10/303,065.64
  6. Step 6: Final answer
    x = 242,619.29

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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.