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Finding the Fourth Proportional to 541,119.64, 746,727.06 and 299,402.68

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Solution

The fourth proportional to 541,119.64, 746,727.06 and 299,402.68 is: 413,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,119.64 : 746,727.06 = 299,402.68 : x
  2. Step 2: Convert to fraction form
    541,119.64/746,727.06 = 299,402.68/x
  3. Step 3: Cross multiply
    541,119.64x = 746,727.06 × 299,402.68
  4. Step 4: Simplify right side
    541,119.64x = 223,572,082,992.52
  5. Step 5: Solve for x
    x = 223,572,082,992.52/541,119.64
  6. Step 6: Final answer
    x = 413,165.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.