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Finding the Fourth Proportional to 347,192.83, 520,698.11 and 147,410.38

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Solution

The fourth proportional to 347,192.83, 520,698.11 and 147,410.38 is: 221,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,192.83 : 520,698.11 = 147,410.38 : x
  2. Step 2: Convert to fraction form
    347,192.83/520,698.11 = 147,410.38/x
  3. Step 3: Cross multiply
    347,192.83x = 520,698.11 × 147,410.38
  4. Step 4: Simplify right side
    347,192.83x = 76,756,303,656.89
  5. Step 5: Solve for x
    x = 76,756,303,656.89/347,192.83
  6. Step 6: Final answer
    x = 221,076.87

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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.