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Finding the Fourth Proportional to 304,180.50, 419,642.30 and 175,088.08

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Solution

The fourth proportional to 304,180.50, 419,642.30 and 175,088.08 is: 241,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,180.50 : 419,642.30 = 175,088.08 : x
  2. Step 2: Convert to fraction form
    304,180.50/419,642.30 = 175,088.08/x
  3. Step 3: Cross multiply
    304,180.50x = 419,642.30 × 175,088.08
  4. Step 4: Simplify right side
    304,180.50x = 73,474,362,669.24
  5. Step 5: Solve for x
    x = 73,474,362,669.24/304,180.50
  6. Step 6: Final answer
    x = 241,548.57

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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.