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Finding the Fourth Proportional to 421,574.24, 632,362.44 and 172,256.24

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Solution

The fourth proportional to 421,574.24, 632,362.44 and 172,256.24 is: 258,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,574.24 : 632,362.44 = 172,256.24 : x
  2. Step 2: Convert to fraction form
    421,574.24/632,362.44 = 172,256.24/x
  3. Step 3: Cross multiply
    421,574.24x = 632,362.44 × 172,256.24
  4. Step 4: Simplify right side
    421,574.24x = 108,928,376,231.63
  5. Step 5: Solve for x
    x = 108,928,376,231.63/421,574.24
  6. Step 6: Final answer
    x = 258,384.80

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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.