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Finding the Fourth Proportional to 313,094.34, 469,267.85 and 170,975.40

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Solution

The fourth proportional to 313,094.34, 469,267.85 and 170,975.40 is: 256,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,094.34 : 469,267.85 = 170,975.40 : x
  2. Step 2: Convert to fraction form
    313,094.34/469,267.85 = 170,975.40/x
  3. Step 3: Cross multiply
    313,094.34x = 469,267.85 × 170,975.40
  4. Step 4: Simplify right side
    313,094.34x = 80,233,256,387.42
  5. Step 5: Solve for x
    x = 80,233,256,387.42/313,094.34
  6. Step 6: Final answer
    x = 256,259.04

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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.