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Finding the Fourth Proportional to 364,434.44, 546,274.38 and 177,213.32

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Solution

The fourth proportional to 364,434.44, 546,274.38 and 177,213.32 is: 265,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,434.44 : 546,274.38 = 177,213.32 : x
  2. Step 2: Convert to fraction form
    364,434.44/546,274.38 = 177,213.32/x
  3. Step 3: Cross multiply
    364,434.44x = 546,274.38 × 177,213.32
  4. Step 4: Simplify right side
    364,434.44x = 96,807,096,510.74
  5. Step 5: Solve for x
    x = 96,807,096,510.74/364,434.44
  6. Step 6: Final answer
    x = 265,636.52

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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.