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Finding the Fourth Proportional to 351,708.94, 527,010.12 and 271,941.76

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Solution

The fourth proportional to 351,708.94, 527,010.12 and 271,941.76 is: 407,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,708.94 : 527,010.12 = 271,941.76 : x
  2. Step 2: Convert to fraction form
    351,708.94/527,010.12 = 271,941.76/x
  3. Step 3: Cross multiply
    351,708.94x = 527,010.12 × 271,941.76
  4. Step 4: Simplify right side
    351,708.94x = 143,316,059,570.61
  5. Step 5: Solve for x
    x = 143,316,059,570.61/351,708.94
  6. Step 6: Final answer
    x = 407,484.84

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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.