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Finding the Fourth Proportional to 346,390.41, 478,348.92 and 327,520.38

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Solution

The fourth proportional to 346,390.41, 478,348.92 and 327,520.38 is: 452,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,390.41 : 478,348.92 = 327,520.38 : x
  2. Step 2: Convert to fraction form
    346,390.41/478,348.92 = 327,520.38/x
  3. Step 3: Cross multiply
    346,390.41x = 478,348.92 × 327,520.38
  4. Step 4: Simplify right side
    346,390.41x = 156,669,020,050.99
  5. Step 5: Solve for x
    x = 156,669,020,050.99/346,390.41
  6. Step 6: Final answer
    x = 452,290.29

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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.