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Finding the Fourth Proportional to 462,421.96, 693,212.54 and 177,931.06

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Solution

The fourth proportional to 462,421.96, 693,212.54 and 177,931.06 is: 266,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,421.96 : 693,212.54 = 177,931.06 : x
  2. Step 2: Convert to fraction form
    462,421.96/693,212.54 = 177,931.06/x
  3. Step 3: Cross multiply
    462,421.96x = 693,212.54 × 177,931.06
  4. Step 4: Simplify right side
    462,421.96x = 123,344,042,047.49
  5. Step 5: Solve for x
    x = 123,344,042,047.49/462,421.96
  6. Step 6: Final answer
    x = 266,734.83

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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.