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Finding the Fourth Proportional to 313,907.30, 470,860.96 and 313,907.30

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Solution

The fourth proportional to 313,907.30, 470,860.96 and 313,907.30 is: 470,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,907.30 : 470,860.96 = 313,907.30 : x
  2. Step 2: Convert to fraction form
    313,907.30/470,860.96 = 313,907.30/x
  3. Step 3: Cross multiply
    313,907.30x = 470,860.96 × 313,907.30
  4. Step 4: Simplify right side
    313,907.30x = 147,806,692,629.01
  5. Step 5: Solve for x
    x = 147,806,692,629.01/313,907.30
  6. Step 6: Final answer
    x = 470,860.96

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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.