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Finding the Fourth Proportional to 311,729.04, 467,448.23 and 161,929.13

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Solution

The fourth proportional to 311,729.04, 467,448.23 and 161,929.13 is: 242,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,729.04 : 467,448.23 = 161,929.13 : x
  2. Step 2: Convert to fraction form
    311,729.04/467,448.23 = 161,929.13/x
  3. Step 3: Cross multiply
    311,729.04x = 467,448.23 × 161,929.13
  4. Step 4: Simplify right side
    311,729.04x = 75,693,483,271.52
  5. Step 5: Solve for x
    x = 75,693,483,271.52/311,729.04
  6. Step 6: Final answer
    x = 242,818.20

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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.