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Finding the Fourth Proportional to 337,126.64, 465,166.16 and 214,668.32

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Solution

The fourth proportional to 337,126.64, 465,166.16 and 214,668.32 is: 296,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,126.64 : 465,166.16 = 214,668.32 : x
  2. Step 2: Convert to fraction form
    337,126.64/465,166.16 = 214,668.32/x
  3. Step 3: Cross multiply
    337,126.64x = 465,166.16 × 214,668.32
  4. Step 4: Simplify right side
    337,126.64x = 99,856,438,088.05
  5. Step 5: Solve for x
    x = 99,856,438,088.05/337,126.64
  6. Step 6: Final answer
    x = 296,198.60

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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.