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Finding the Fourth Proportional to 409,335.47, 614,096.66 and 125,066.48

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Solution

The fourth proportional to 409,335.47, 614,096.66 and 125,066.48 is: 187,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,335.47 : 614,096.66 = 125,066.48 : x
  2. Step 2: Convert to fraction form
    409,335.47/614,096.66 = 125,066.48/x
  3. Step 3: Cross multiply
    409,335.47x = 614,096.66 × 125,066.48
  4. Step 4: Simplify right side
    409,335.47x = 76,802,903,950.14
  5. Step 5: Solve for x
    x = 76,802,903,950.14/409,335.47
  6. Step 6: Final answer
    x = 187,628.27

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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.