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Finding the Fourth Proportional to 306,957.11, 460,086.51 and 186,749.08

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Solution

The fourth proportional to 306,957.11, 460,086.51 and 186,749.08 is: 279,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,957.11 : 460,086.51 = 186,749.08 : x
  2. Step 2: Convert to fraction form
    306,957.11/460,086.51 = 186,749.08/x
  3. Step 3: Cross multiply
    306,957.11x = 460,086.51 × 186,749.08
  4. Step 4: Simplify right side
    306,957.11x = 85,920,732,462.91
  5. Step 5: Solve for x
    x = 85,920,732,462.91/306,957.11
  6. Step 6: Final answer
    x = 279,911.20

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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.