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Finding the Fourth Proportional to 334,598.64, 461,735.76 and 181,629.60

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Solution

The fourth proportional to 334,598.64, 461,735.76 and 181,629.60 is: 250,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,598.64 : 461,735.76 = 181,629.60 : x
  2. Step 2: Convert to fraction form
    334,598.64/461,735.76 = 181,629.60/x
  3. Step 3: Cross multiply
    334,598.64x = 461,735.76 × 181,629.60
  4. Step 4: Simplify right side
    334,598.64x = 83,864,881,394.50
  5. Step 5: Solve for x
    x = 83,864,881,394.50/334,598.64
  6. Step 6: Final answer
    x = 250,643.22

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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.