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Finding the Fourth Proportional to 364,138.28, 546,207.42 and 114,820.28

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Solution

The fourth proportional to 364,138.28, 546,207.42 and 114,820.28 is: 172,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,138.28 : 546,207.42 = 114,820.28 : x
  2. Step 2: Convert to fraction form
    364,138.28/546,207.42 = 114,820.28/x
  3. Step 3: Cross multiply
    364,138.28x = 546,207.42 × 114,820.28
  4. Step 4: Simplify right side
    364,138.28x = 62,715,688,902.48
  5. Step 5: Solve for x
    x = 62,715,688,902.48/364,138.28
  6. Step 6: Final answer
    x = 172,230.42

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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.