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Finding the Fourth Proportional to 462,090.51, 692,839.17 and 192,405.51

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Solution

The fourth proportional to 462,090.51, 692,839.17 and 192,405.51 is: 288,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,090.51 : 692,839.17 = 192,405.51 : x
  2. Step 2: Convert to fraction form
    462,090.51/692,839.17 = 192,405.51/x
  3. Step 3: Cross multiply
    462,090.51x = 692,839.17 × 192,405.51
  4. Step 4: Simplify right side
    462,090.51x = 133,306,073,851.83
  5. Step 5: Solve for x
    x = 133,306,073,851.83/462,090.51
  6. Step 6: Final answer
    x = 288,484.77

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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.