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Finding the Fourth Proportional to 462,078.84, 692,943.30 and 181,443

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Solution

The fourth proportional to 462,078.84, 692,943.30 and 181,443 is: 272,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,078.84 : 692,943.30 = 181,443 : x
  2. Step 2: Convert to fraction form
    462,078.84/692,943.30 = 181,443/x
  3. Step 3: Cross multiply
    462,078.84x = 692,943.30 × 181,443
  4. Step 4: Simplify right side
    462,078.84x = 125,729,711,181.90
  5. Step 5: Solve for x
    x = 125,729,711,181.90/462,078.84
  6. Step 6: Final answer
    x = 272,095.80

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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.