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Finding the Fourth Proportional to 507,882.96, 761,973.48 and 227,337.84

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Solution

The fourth proportional to 507,882.96, 761,973.48 and 227,337.84 is: 341,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,882.96 : 761,973.48 = 227,337.84 : x
  2. Step 2: Convert to fraction form
    507,882.96/761,973.48 = 227,337.84/x
  3. Step 3: Cross multiply
    507,882.96x = 761,973.48 × 227,337.84
  4. Step 4: Simplify right side
    507,882.96x = 173,225,405,080.48
  5. Step 5: Solve for x
    x = 173,225,405,080.48/507,882.96
  6. Step 6: Final answer
    x = 341,073.47

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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.