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Finding the Fourth Proportional to 298,490.07, 411,919.14 and 171,141.06

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Solution

The fourth proportional to 298,490.07, 411,919.14 and 171,141.06 is: 236,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,490.07 : 411,919.14 = 171,141.06 : x
  2. Step 2: Convert to fraction form
    298,490.07/411,919.14 = 171,141.06/x
  3. Step 3: Cross multiply
    298,490.07x = 411,919.14 × 171,141.06
  4. Step 4: Simplify right side
    298,490.07x = 70,496,278,253.89
  5. Step 5: Solve for x
    x = 70,496,278,253.89/298,490.07
  6. Step 6: Final answer
    x = 236,176.29

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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.