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Finding the Fourth Proportional to 475,833.96, 713,525.02 and 276,215.56

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Solution

The fourth proportional to 475,833.96, 713,525.02 and 276,215.56 is: 414,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,833.96 : 713,525.02 = 276,215.56 : x
  2. Step 2: Convert to fraction form
    475,833.96/713,525.02 = 276,215.56/x
  3. Step 3: Cross multiply
    475,833.96x = 713,525.02 × 276,215.56
  4. Step 4: Simplify right side
    475,833.96x = 197,086,712,973.31
  5. Step 5: Solve for x
    x = 197,086,712,973.31/475,833.96
  6. Step 6: Final answer
    x = 414,192.20

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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.