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Finding the Fourth Proportional to 313,465.60, 470,198.40 and 76,810.60

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Solution

The fourth proportional to 313,465.60, 470,198.40 and 76,810.60 is: 115,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,465.60 : 470,198.40 = 76,810.60 : x
  2. Step 2: Convert to fraction form
    313,465.60/470,198.40 = 76,810.60/x
  3. Step 3: Cross multiply
    313,465.60x = 470,198.40 × 76,810.60
  4. Step 4: Simplify right side
    313,465.60x = 36,116,221,223.04
  5. Step 5: Solve for x
    x = 36,116,221,223.04/313,465.60
  6. Step 6: Final answer
    x = 115,215.90

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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.