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Finding the Fourth Proportional to 313,988.70, 471,011.85 and 103,627.10

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Solution

The fourth proportional to 313,988.70, 471,011.85 and 103,627.10 is: 155,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,988.70 : 471,011.85 = 103,627.10 : x
  2. Step 2: Convert to fraction form
    313,988.70/471,011.85 = 103,627.10/x
  3. Step 3: Cross multiply
    313,988.70x = 471,011.85 × 103,627.10
  4. Step 4: Simplify right side
    313,988.70x = 48,809,592,081.14
  5. Step 5: Solve for x
    x = 48,809,592,081.14/313,988.70
  6. Step 6: Final answer
    x = 155,450.15

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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.