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Finding the Fourth Proportional to 313,821.80, 470,732.70 and 103,432.40

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Solution

The fourth proportional to 313,821.80, 470,732.70 and 103,432.40 is: 155,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.80 : 470,732.70 = 103,432.40 : x
  2. Step 2: Convert to fraction form
    313,821.80/470,732.70 = 103,432.40/x
  3. Step 3: Cross multiply
    313,821.80x = 470,732.70 × 103,432.40
  4. Step 4: Simplify right side
    313,821.80x = 48,689,012,919.48
  5. Step 5: Solve for x
    x = 48,689,012,919.48/313,821.80
  6. Step 6: Final answer
    x = 155,148.60

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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.