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Finding the Fourth Proportional to 410,472.96, 566,140.86 and 353,208.18

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Solution

The fourth proportional to 410,472.96, 566,140.86 and 353,208.18 is: 487,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,472.96 : 566,140.86 = 353,208.18 : x
  2. Step 2: Convert to fraction form
    410,472.96/566,140.86 = 353,208.18/x
  3. Step 3: Cross multiply
    410,472.96x = 566,140.86 × 353,208.18
  4. Step 4: Simplify right side
    410,472.96x = 199,965,582,784.24
  5. Step 5: Solve for x
    x = 199,965,582,784.24/410,472.96
  6. Step 6: Final answer
    x = 487,158.97

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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.