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Finding the Fourth Proportional to 462,171.79, 692,960.86 and 192,486.93

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Solution

The fourth proportional to 462,171.79, 692,960.86 and 192,486.93 is: 288,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,171.79 : 692,960.86 = 192,486.93 : x
  2. Step 2: Convert to fraction form
    462,171.79/692,960.86 = 192,486.93/x
  3. Step 3: Cross multiply
    462,171.79x = 692,960.86 × 192,486.93
  4. Step 4: Simplify right side
    462,171.79x = 133,385,908,551.56
  5. Step 5: Solve for x
    x = 133,385,908,551.56/462,171.79
  6. Step 6: Final answer
    x = 288,606.77

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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.