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Finding the Fourth Proportional to 397,454.80, 596,182.20 and 172,922.80

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Solution

The fourth proportional to 397,454.80, 596,182.20 and 172,922.80 is: 259,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,454.80 : 596,182.20 = 172,922.80 : x
  2. Step 2: Convert to fraction form
    397,454.80/596,182.20 = 172,922.80/x
  3. Step 3: Cross multiply
    397,454.80x = 596,182.20 × 172,922.80
  4. Step 4: Simplify right side
    397,454.80x = 103,093,495,334.16
  5. Step 5: Solve for x
    x = 103,093,495,334.16/397,454.80
  6. Step 6: Final answer
    x = 259,384.20

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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.