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Finding the Fourth Proportional to 412,654.96, 618,929.72 and 159,762.43

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Solution

The fourth proportional to 412,654.96, 618,929.72 and 159,762.43 is: 239,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,654.96 : 618,929.72 = 159,762.43 : x
  2. Step 2: Convert to fraction form
    412,654.96/618,929.72 = 159,762.43/x
  3. Step 3: Cross multiply
    412,654.96x = 618,929.72 × 159,762.43
  4. Step 4: Simplify right side
    412,654.96x = 98,881,712,172.96
  5. Step 5: Solve for x
    x = 98,881,712,172.96/412,654.96
  6. Step 6: Final answer
    x = 239,623.23

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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.