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Finding the Fourth Proportional to 421,005.08, 580,980.20 and 230,014.38

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Solution

The fourth proportional to 421,005.08, 580,980.20 and 230,014.38 is: 317,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,005.08 : 580,980.20 = 230,014.38 : x
  2. Step 2: Convert to fraction form
    421,005.08/580,980.20 = 230,014.38/x
  3. Step 3: Cross multiply
    421,005.08x = 580,980.20 × 230,014.38
  4. Step 4: Simplify right side
    421,005.08x = 133,633,800,495.28
  5. Step 5: Solve for x
    x = 133,633,800,495.28/421,005.08
  6. Step 6: Final answer
    x = 317,416.12

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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.