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Finding the Fourth Proportional to 304,463.16, 420,192 and 177,208.92

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Solution

The fourth proportional to 304,463.16, 420,192 and 177,208.92 is: 244,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,463.16 : 420,192 = 177,208.92 : x
  2. Step 2: Convert to fraction form
    304,463.16/420,192 = 177,208.92/x
  3. Step 3: Cross multiply
    304,463.16x = 420,192 × 177,208.92
  4. Step 4: Simplify right side
    304,463.16x = 74,461,770,512.64
  5. Step 5: Solve for x
    x = 74,461,770,512.64/304,463.16
  6. Step 6: Final answer
    x = 244,567.42

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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.