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Finding the Fourth Proportional to 507,841.76, 761,769.12 and 227,300.96

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Solution

The fourth proportional to 507,841.76, 761,769.12 and 227,300.96 is: 340,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,841.76 : 761,769.12 = 227,300.96 : x
  2. Step 2: Convert to fraction form
    507,841.76/761,769.12 = 227,300.96/x
  3. Step 3: Cross multiply
    507,841.76x = 761,769.12 × 227,300.96
  4. Step 4: Simplify right side
    507,841.76x = 173,150,852,274.36
  5. Step 5: Solve for x
    x = 173,150,852,274.36/507,841.76
  6. Step 6: Final answer
    x = 340,954.34

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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.