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Finding the Fourth Proportional to 304,147.48, 419,709.68 and 175,080.46

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Solution

The fourth proportional to 304,147.48, 419,709.68 and 175,080.46 is: 241,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,147.48 : 419,709.68 = 175,080.46 : x
  2. Step 2: Convert to fraction form
    304,147.48/419,709.68 = 175,080.46/x
  3. Step 3: Cross multiply
    304,147.48x = 419,709.68 × 175,080.46
  4. Step 4: Simplify right side
    304,147.48x = 73,482,963,840.85
  5. Step 5: Solve for x
    x = 73,482,963,840.85/304,147.48
  6. Step 6: Final answer
    x = 241,603.07

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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.