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Finding the Fourth Proportional to 311,309.94, 467,075.25 and 153,649.11

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Solution

The fourth proportional to 311,309.94, 467,075.25 and 153,649.11 is: 230,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,309.94 : 467,075.25 = 153,649.11 : x
  2. Step 2: Convert to fraction form
    311,309.94/467,075.25 = 153,649.11/x
  3. Step 3: Cross multiply
    311,309.94x = 467,075.25 × 153,649.11
  4. Step 4: Simplify right side
    311,309.94x = 71,765,696,465.53
  5. Step 5: Solve for x
    x = 71,765,696,465.53/311,309.94
  6. Step 6: Final answer
    x = 230,528.12

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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.