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Finding the Fourth Proportional to 315,576.80, 473,367.60 and 105,214.40

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Solution

The fourth proportional to 315,576.80, 473,367.60 and 105,214.40 is: 157,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,576.80 : 473,367.60 = 105,214.40 : x
  2. Step 2: Convert to fraction form
    315,576.80/473,367.60 = 105,214.40/x
  3. Step 3: Cross multiply
    315,576.80x = 473,367.60 × 105,214.40
  4. Step 4: Simplify right side
    315,576.80x = 49,805,088,013.44
  5. Step 5: Solve for x
    x = 49,805,088,013.44/315,576.80
  6. Step 6: Final answer
    x = 157,822.40

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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.