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Finding the Fourth Proportional to 420,989.76, 580,968 and 230,006.52

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Solution

The fourth proportional to 420,989.76, 580,968 and 230,006.52 is: 317,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,989.76 : 580,968 = 230,006.52 : x
  2. Step 2: Convert to fraction form
    420,989.76/580,968 = 230,006.52/x
  3. Step 3: Cross multiply
    420,989.76x = 580,968 × 230,006.52
  4. Step 4: Simplify right side
    420,989.76x = 133,626,427,911.36
  5. Step 5: Solve for x
    x = 133,626,427,911.36/420,989.76
  6. Step 6: Final answer
    x = 317,410.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.