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Finding the Fourth Proportional to 570,823.74, 856,243.98 and 271,335.06

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Solution

The fourth proportional to 570,823.74, 856,243.98 and 271,335.06 is: 407,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,823.74 : 856,243.98 = 271,335.06 : x
  2. Step 2: Convert to fraction form
    570,823.74/856,243.98 = 271,335.06/x
  3. Step 3: Cross multiply
    570,823.74x = 856,243.98 × 271,335.06
  4. Step 4: Simplify right side
    570,823.74x = 232,329,011,687.94
  5. Step 5: Solve for x
    x = 232,329,011,687.94/570,823.74
  6. Step 6: Final answer
    x = 407,006.57

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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.