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Finding the Fourth Proportional to 371,790.72, 513,070.22 and 202,024.86

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Solution

The fourth proportional to 371,790.72, 513,070.22 and 202,024.86 is: 278,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,790.72 : 513,070.22 = 202,024.86 : x
  2. Step 2: Convert to fraction form
    371,790.72/513,070.22 = 202,024.86/x
  3. Step 3: Cross multiply
    371,790.72x = 513,070.22 × 202,024.86
  4. Step 4: Simplify right side
    371,790.72x = 103,652,939,365.67
  5. Step 5: Solve for x
    x = 103,652,939,365.67/371,790.72
  6. Step 6: Final answer
    x = 278,793.78

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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.