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Finding the Fourth Proportional to 357,737.61, 493,676.29 and 204,774.96

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Solution

The fourth proportional to 357,737.61, 493,676.29 and 204,774.96 is: 282,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,737.61 : 493,676.29 = 204,774.96 : x
  2. Step 2: Convert to fraction form
    357,737.61/493,676.29 = 204,774.96/x
  3. Step 3: Cross multiply
    357,737.61x = 493,676.29 × 204,774.96
  4. Step 4: Simplify right side
    357,737.61x = 101,092,543,832.42
  5. Step 5: Solve for x
    x = 101,092,543,832.42/357,737.61
  6. Step 6: Final answer
    x = 282,588.52

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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.