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Finding the Fourth Proportional to 354,134.16, 531,296.01 and 154,470.78

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Solution

The fourth proportional to 354,134.16, 531,296.01 and 154,470.78 is: 231,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,134.16 : 531,296.01 = 154,470.78 : x
  2. Step 2: Convert to fraction form
    354,134.16/531,296.01 = 154,470.78/x
  3. Step 3: Cross multiply
    354,134.16x = 531,296.01 × 154,470.78
  4. Step 4: Simplify right side
    354,134.16x = 82,069,709,075.59
  5. Step 5: Solve for x
    x = 82,069,709,075.59/354,134.16
  6. Step 6: Final answer
    x = 231,747.51

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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.