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Finding the Fourth Proportional to 410,373.68, 565,052.52 and 349,808.48

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Solution

The fourth proportional to 410,373.68, 565,052.52 and 349,808.48 is: 481,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,373.68 : 565,052.52 = 349,808.48 : x
  2. Step 2: Convert to fraction form
    410,373.68/565,052.52 = 349,808.48/x
  3. Step 3: Cross multiply
    410,373.68x = 565,052.52 × 349,808.48
  4. Step 4: Simplify right side
    410,373.68x = 197,660,163,141.37
  5. Step 5: Solve for x
    x = 197,660,163,141.37/410,373.68
  6. Step 6: Final answer
    x = 481,658.97

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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.