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Finding the Fourth Proportional to 310,382.30, 464,654.90 and 191,671.94

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Solution

The fourth proportional to 310,382.30, 464,654.90 and 191,671.94 is: 286,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,382.30 : 464,654.90 = 191,671.94 : x
  2. Step 2: Convert to fraction form
    310,382.30/464,654.90 = 191,671.94/x
  3. Step 3: Cross multiply
    310,382.30x = 464,654.90 × 191,671.94
  4. Step 4: Simplify right side
    310,382.30x = 89,061,302,831.87
  5. Step 5: Solve for x
    x = 89,061,302,831.87/310,382.30
  6. Step 6: Final answer
    x = 286,940.67

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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.