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Finding the Fourth Proportional to 313,966.12, 470,965.46 and 103,620.46

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Solution

The fourth proportional to 313,966.12, 470,965.46 and 103,620.46 is: 155,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,966.12 : 470,965.46 = 103,620.46 : x
  2. Step 2: Convert to fraction form
    313,966.12/470,965.46 = 103,620.46/x
  3. Step 3: Cross multiply
    313,966.12x = 470,965.46 × 103,620.46
  4. Step 4: Simplify right side
    313,966.12x = 48,801,657,609.31
  5. Step 5: Solve for x
    x = 48,801,657,609.31/313,966.12
  6. Step 6: Final answer
    x = 155,436.06

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1.5x scale

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.