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Finding the Fourth Proportional to 313,633.80, 470,450.70 and 76,973.40

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Solution

The fourth proportional to 313,633.80, 470,450.70 and 76,973.40 is: 115,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,633.80 : 470,450.70 = 76,973.40 : x
  2. Step 2: Convert to fraction form
    313,633.80/470,450.70 = 76,973.40/x
  3. Step 3: Cross multiply
    313,633.80x = 470,450.70 × 76,973.40
  4. Step 4: Simplify right side
    313,633.80x = 36,212,189,911.38
  5. Step 5: Solve for x
    x = 36,212,189,911.38/313,633.80
  6. Step 6: Final answer
    x = 115,460.10

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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.