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Finding the Fourth Proportional to 315,895.40, 473,704.86 and 94,235.24

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Solution

The fourth proportional to 315,895.40, 473,704.86 and 94,235.24 is: 141,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,895.40 : 473,704.86 = 94,235.24 : x
  2. Step 2: Convert to fraction form
    315,895.40/473,704.86 = 94,235.24/x
  3. Step 3: Cross multiply
    315,895.40x = 473,704.86 × 94,235.24
  4. Step 4: Simplify right side
    315,895.40x = 44,639,691,171.27
  5. Step 5: Solve for x
    x = 44,639,691,171.27/315,895.40
  6. Step 6: Final answer
    x = 141,311.62

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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.