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Finding the Fourth Proportional to 271,403.30, 407,364.15 and 232,004.90

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Solution

The fourth proportional to 271,403.30, 407,364.15 and 232,004.90 is: 348,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,403.30 : 407,364.15 = 232,004.90 : x
  2. Step 2: Convert to fraction form
    271,403.30/407,364.15 = 232,004.90/x
  3. Step 3: Cross multiply
    271,403.30x = 407,364.15 × 232,004.90
  4. Step 4: Simplify right side
    271,403.30x = 94,510,478,884.34
  5. Step 5: Solve for x
    x = 94,510,478,884.34/271,403.30
  6. Step 6: Final answer
    x = 348,228.92

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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.