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Finding the Fourth Proportional to 313,312.80, 469,969.20 and 188,896.80

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Solution

The fourth proportional to 313,312.80, 469,969.20 and 188,896.80 is: 283,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,312.80 : 469,969.20 = 188,896.80 : x
  2. Step 2: Convert to fraction form
    313,312.80/469,969.20 = 188,896.80/x
  3. Step 3: Cross multiply
    313,312.80x = 469,969.20 × 188,896.80
  4. Step 4: Simplify right side
    313,312.80x = 88,775,677,978.56
  5. Step 5: Solve for x
    x = 88,775,677,978.56/313,312.80
  6. Step 6: Final answer
    x = 283,345.20

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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.