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Finding the Fourth Proportional to 366,975, 506,426.40 and 214,118.28

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Solution

The fourth proportional to 366,975, 506,426.40 and 214,118.28 is: 295,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,975 : 506,426.40 = 214,118.28 : x
  2. Step 2: Convert to fraction form
    366,975/506,426.40 = 214,118.28/x
  3. Step 3: Cross multiply
    366,975x = 506,426.40 × 214,118.28
  4. Step 4: Simplify right side
    366,975x = 108,435,149,714.59
  5. Step 5: Solve for x
    x = 108,435,149,714.59/366,975
  6. Step 6: Final answer
    x = 295,483.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.