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Finding the Fourth Proportional to 476,388.92, 714,539.10 and 160,848.56

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Solution

The fourth proportional to 476,388.92, 714,539.10 and 160,848.56 is: 241,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,388.92 : 714,539.10 = 160,848.56 : x
  2. Step 2: Convert to fraction form
    476,388.92/714,539.10 = 160,848.56/x
  3. Step 3: Cross multiply
    476,388.92x = 714,539.10 × 160,848.56
  4. Step 4: Simplify right side
    476,388.92x = 114,932,585,298.70
  5. Step 5: Solve for x
    x = 114,932,585,298.70/476,388.92
  6. Step 6: Final answer
    x = 241,257.89

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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.