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Finding the Fourth Proportional to 304,309.72, 419,978.80 and 175,252.42

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Solution

The fourth proportional to 304,309.72, 419,978.80 and 175,252.42 is: 241,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,309.72 : 419,978.80 = 175,252.42 : x
  2. Step 2: Convert to fraction form
    304,309.72/419,978.80 = 175,252.42/x
  3. Step 3: Cross multiply
    304,309.72x = 419,978.80 × 175,252.42
  4. Step 4: Simplify right side
    304,309.72x = 73,602,301,048.70
  5. Step 5: Solve for x
    x = 73,602,301,048.70/304,309.72
  6. Step 6: Final answer
    x = 241,866.42

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1.5x scale

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.