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Finding the Fourth Proportional to 421,774.80, 632,664.60 and 172,456.80

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Solution

The fourth proportional to 421,774.80, 632,664.60 and 172,456.80 is: 258,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,774.80 : 632,664.60 = 172,456.80 : x
  2. Step 2: Convert to fraction form
    421,774.80/632,664.60 = 172,456.80/x
  3. Step 3: Cross multiply
    421,774.80x = 632,664.60 × 172,456.80
  4. Step 4: Simplify right side
    421,774.80x = 109,107,312,389.28
  5. Step 5: Solve for x
    x = 109,107,312,389.28/421,774.80
  6. Step 6: Final answer
    x = 258,686.18

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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.