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Finding the Fourth Proportional to 315,728.40, 473,439.08 and 105,295.26

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Solution

The fourth proportional to 315,728.40, 473,439.08 and 105,295.26 is: 157,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,728.40 : 473,439.08 = 105,295.26 : x
  2. Step 2: Convert to fraction form
    315,728.40/473,439.08 = 105,295.26/x
  3. Step 3: Cross multiply
    315,728.40x = 473,439.08 × 105,295.26
  4. Step 4: Simplify right side
    315,728.40x = 49,850,891,022.76
  5. Step 5: Solve for x
    x = 49,850,891,022.76/315,728.40
  6. Step 6: Final answer
    x = 157,891.69

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