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Finding the Fourth Proportional to 474,049.80, 709,346.70 and 349,633.80

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Solution

The fourth proportional to 474,049.80, 709,346.70 and 349,633.80 is: 523,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,049.80 : 709,346.70 = 349,633.80 : x
  2. Step 2: Convert to fraction form
    474,049.80/709,346.70 = 349,633.80/x
  3. Step 3: Cross multiply
    474,049.80x = 709,346.70 × 349,633.80
  4. Step 4: Simplify right side
    474,049.80x = 248,011,582,238.46
  5. Step 5: Solve for x
    x = 248,011,582,238.46/474,049.80
  6. Step 6: Final answer
    x = 523,176.22

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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.