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Finding the Fourth Proportional to 334,602.64, 461,741.28 and 181,633.60

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Solution

The fourth proportional to 334,602.64, 461,741.28 and 181,633.60 is: 250,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,602.64 : 461,741.28 = 181,633.60 : x
  2. Step 2: Convert to fraction form
    334,602.64/461,741.28 = 181,633.60/x
  3. Step 3: Cross multiply
    334,602.64x = 461,741.28 × 181,633.60
  4. Step 4: Simplify right side
    334,602.64x = 83,867,730,955.01
  5. Step 5: Solve for x
    x = 83,867,730,955.01/334,602.64
  6. Step 6: Final answer
    x = 250,648.74

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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.