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Finding the Fourth Proportional to 358,671.44, 538,415.40 and 181,378.64

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Solution

The fourth proportional to 358,671.44, 538,415.40 and 181,378.64 is: 272,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,671.44 : 538,415.40 = 181,378.64 : x
  2. Step 2: Convert to fraction form
    358,671.44/538,415.40 = 181,378.64/x
  3. Step 3: Cross multiply
    358,671.44x = 538,415.40 × 181,378.64
  4. Step 4: Simplify right side
    358,671.44x = 97,657,053,007.06
  5. Step 5: Solve for x
    x = 97,657,053,007.06/358,671.44
  6. Step 6: Final answer
    x = 272,274.41

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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.