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Finding the Fourth Proportional to 347,193.83, 520,699.61 and 147,411.38

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Solution

The fourth proportional to 347,193.83, 520,699.61 and 147,411.38 is: 221,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,193.83 : 520,699.61 = 147,411.38 : x
  2. Step 2: Convert to fraction form
    347,193.83/520,699.61 = 147,411.38/x
  3. Step 3: Cross multiply
    347,193.83x = 520,699.61 × 147,411.38
  4. Step 4: Simplify right side
    347,193.83x = 76,757,048,075.56
  5. Step 5: Solve for x
    x = 76,757,048,075.56/347,193.83
  6. Step 6: Final answer
    x = 221,078.38

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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.