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Finding the Fourth Proportional to 462,172.79, 692,962.36 and 192,487.93

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Solution

The fourth proportional to 462,172.79, 692,962.36 and 192,487.93 is: 288,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,172.79 : 692,962.36 = 192,487.93 : x
  2. Step 2: Convert to fraction form
    462,172.79/692,962.36 = 192,487.93/x
  3. Step 3: Cross multiply
    462,172.79x = 692,962.36 × 192,487.93
  4. Step 4: Simplify right side
    462,172.79x = 133,386,890,244.32
  5. Step 5: Solve for x
    x = 133,386,890,244.32/462,172.79
  6. Step 6: Final answer
    x = 288,608.27

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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.