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Finding the Fourth Proportional to 463,701.40, 695,529.28 and 271,684.72

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Solution

The fourth proportional to 463,701.40, 695,529.28 and 271,684.72 is: 407,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,701.40 : 695,529.28 = 271,684.72 : x
  2. Step 2: Convert to fraction form
    463,701.40/695,529.28 = 271,684.72/x
  3. Step 3: Cross multiply
    463,701.40x = 695,529.28 × 271,684.72
  4. Step 4: Simplify right side
    463,701.40x = 188,964,677,688.60
  5. Step 5: Solve for x
    x = 188,964,677,688.60/463,701.40
  6. Step 6: Final answer
    x = 407,513.71

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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.