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Finding the Fourth Proportional to 463,959.44, 696,008.28 and 214,666.64

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Solution

The fourth proportional to 463,959.44, 696,008.28 and 214,666.64 is: 322,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,959.44 : 696,008.28 = 214,666.64 : x
  2. Step 2: Convert to fraction form
    463,959.44/696,008.28 = 214,666.64/x
  3. Step 3: Cross multiply
    463,959.44x = 696,008.28 × 214,666.64
  4. Step 4: Simplify right side
    463,959.44x = 149,409,758,879.78
  5. Step 5: Solve for x
    x = 149,409,758,879.78/463,959.44
  6. Step 6: Final answer
    x = 322,031.94

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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.