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Finding the Fourth Proportional to 1,146,581.76, 1,719,867.24 and 293,651.76

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Solution

The fourth proportional to 1,146,581.76, 1,719,867.24 and 293,651.76 is: 440,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,581.76 : 1,719,867.24 = 293,651.76 : x
  2. Step 2: Convert to fraction form
    1,146,581.76/1,719,867.24 = 293,651.76/x
  3. Step 3: Cross multiply
    1,146,581.76x = 1,719,867.24 × 293,651.76
  4. Step 4: Simplify right side
    1,146,581.76x = 505,042,041,992.34
  5. Step 5: Solve for x
    x = 505,042,041,992.34/1,146,581.76
  6. Step 6: Final answer
    x = 440,476.26

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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.