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Finding the Fourth Proportional to 303,684.32, 419,084.38 and 176,368.12

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Solution

The fourth proportional to 303,684.32, 419,084.38 and 176,368.12 is: 243,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,684.32 : 419,084.38 = 176,368.12 : x
  2. Step 2: Convert to fraction form
    303,684.32/419,084.38 = 176,368.12/x
  3. Step 3: Cross multiply
    303,684.32x = 419,084.38 × 176,368.12
  4. Step 4: Simplify right side
    303,684.32x = 73,913,124,221.97
  5. Step 5: Solve for x
    x = 73,913,124,221.97/303,684.32
  6. Step 6: Final answer
    x = 243,388.02

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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.