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Finding the Fourth Proportional to 334,728.90, 461,755.08 and 213,742.98

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Solution

The fourth proportional to 334,728.90, 461,755.08 and 213,742.98 is: 294,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,728.90 : 461,755.08 = 213,742.98 : x
  2. Step 2: Convert to fraction form
    334,728.90/461,755.08 = 213,742.98/x
  3. Step 3: Cross multiply
    334,728.90x = 461,755.08 × 213,742.98
  4. Step 4: Simplify right side
    334,728.90x = 98,696,906,829.34
  5. Step 5: Solve for x
    x = 98,696,906,829.34/334,728.90
  6. Step 6: Final answer
    x = 294,856.25

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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.