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Finding the Fourth Proportional to 421,602.24, 632,404.44 and 172,284.24

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Solution

The fourth proportional to 421,602.24, 632,404.44 and 172,284.24 is: 258,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,602.24 : 632,404.44 = 172,284.24 : x
  2. Step 2: Convert to fraction form
    421,602.24/632,404.44 = 172,284.24/x
  3. Step 3: Cross multiply
    421,602.24x = 632,404.44 × 172,284.24
  4. Step 4: Simplify right side
    421,602.24x = 108,953,318,318.03
  5. Step 5: Solve for x
    x = 108,953,318,318.03/421,602.24
  6. Step 6: Final answer
    x = 258,426.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.