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Finding the Fourth Proportional to 313,481.12, 470,158.81 and 153,488.12

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Solution

The fourth proportional to 313,481.12, 470,158.81 and 153,488.12 is: 230,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,481.12 : 470,158.81 = 153,488.12 : x
  2. Step 2: Convert to fraction form
    313,481.12/470,158.81 = 153,488.12/x
  3. Step 3: Cross multiply
    313,481.12x = 470,158.81 × 153,488.12
  4. Step 4: Simplify right side
    313,481.12x = 72,163,791,740.29
  5. Step 5: Solve for x
    x = 72,163,791,740.29/313,481.12
  6. Step 6: Final answer
    x = 230,201.40

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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.