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Finding the Fourth Proportional to 541,688.82, 812,035.65 and 186,618.42

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Solution

The fourth proportional to 541,688.82, 812,035.65 and 186,618.42 is: 279,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,688.82 : 812,035.65 = 186,618.42 : x
  2. Step 2: Convert to fraction form
    541,688.82/812,035.65 = 186,618.42/x
  3. Step 3: Cross multiply
    541,688.82x = 812,035.65 × 186,618.42
  4. Step 4: Simplify right side
    541,688.82x = 151,540,809,986.67
  5. Step 5: Solve for x
    x = 151,540,809,986.67/541,688.82
  6. Step 6: Final answer
    x = 279,756.21

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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.