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Finding the Fourth Proportional to 298,097.89, 411,482.09 and 177,238.89

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Solution

The fourth proportional to 298,097.89, 411,482.09 and 177,238.89 is: 244,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,097.89 : 411,482.09 = 177,238.89 : x
  2. Step 2: Convert to fraction form
    298,097.89/411,482.09 = 177,238.89/x
  3. Step 3: Cross multiply
    298,097.89x = 411,482.09 × 177,238.89
  4. Step 4: Simplify right side
    298,097.89x = 72,930,628,886.48
  5. Step 5: Solve for x
    x = 72,930,628,886.48/298,097.89
  6. Step 6: Final answer
    x = 244,653.29

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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.