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Finding the Fourth Proportional to 362,098.08, 499,755.42 and 211,195.08

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Solution

The fourth proportional to 362,098.08, 499,755.42 and 211,195.08 is: 291,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,098.08 : 499,755.42 = 211,195.08 : x
  2. Step 2: Convert to fraction form
    362,098.08/499,755.42 = 211,195.08/x
  3. Step 3: Cross multiply
    362,098.08x = 499,755.42 × 211,195.08
  4. Step 4: Simplify right side
    362,098.08x = 105,545,885,907.33
  5. Step 5: Solve for x
    x = 105,545,885,907.33/362,098.08
  6. Step 6: Final answer
    x = 291,484.25

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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.