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Finding the Fourth Proportional to 536,971.40, 805,401.62 and 181,976.20

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Solution

The fourth proportional to 536,971.40, 805,401.62 and 181,976.20 is: 272,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,971.40 : 805,401.62 = 181,976.20 : x
  2. Step 2: Convert to fraction form
    536,971.40/805,401.62 = 181,976.20/x
  3. Step 3: Cross multiply
    536,971.40x = 805,401.62 × 181,976.20
  4. Step 4: Simplify right side
    536,971.40x = 146,563,926,281.44
  5. Step 5: Solve for x
    x = 146,563,926,281.44/536,971.40
  6. Step 6: Final answer
    x = 272,945.50

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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.