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Finding the Fourth Proportional to 409,769.84, 614,632.62 and 157,171.34

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Solution

The fourth proportional to 409,769.84, 614,632.62 and 157,171.34 is: 235,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,769.84 : 614,632.62 = 157,171.34 : x
  2. Step 2: Convert to fraction form
    409,769.84/614,632.62 = 157,171.34/x
  3. Step 3: Cross multiply
    409,769.84x = 614,632.62 × 157,171.34
  4. Step 4: Simplify right side
    409,769.84x = 96,602,632,493.11
  5. Step 5: Solve for x
    x = 96,602,632,493.11/409,769.84
  6. Step 6: Final answer
    x = 235,748.52

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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.