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Finding the Fourth Proportional to 420,989.16, 580,973.40 and 230,014.38

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Solution

The fourth proportional to 420,989.16, 580,973.40 and 230,014.38 is: 317,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,989.16 : 580,973.40 = 230,014.38 : x
  2. Step 2: Convert to fraction form
    420,989.16/580,973.40 = 230,014.38/x
  3. Step 3: Cross multiply
    420,989.16x = 580,973.40 × 230,014.38
  4. Step 4: Simplify right side
    420,989.16x = 133,632,236,397.49
  5. Step 5: Solve for x
    x = 133,632,236,397.49/420,989.16
  6. Step 6: Final answer
    x = 317,424.41

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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.