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Finding the Fourth Proportional to 319,993.32, 441,591 and 174,801.12

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Solution

The fourth proportional to 319,993.32, 441,591 and 174,801.12 is: 241,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,993.32 : 441,591 = 174,801.12 : x
  2. Step 2: Convert to fraction form
    319,993.32/441,591 = 174,801.12/x
  3. Step 3: Cross multiply
    319,993.32x = 441,591 × 174,801.12
  4. Step 4: Simplify right side
    319,993.32x = 77,190,601,381.92
  5. Step 5: Solve for x
    x = 77,190,601,381.92/319,993.32
  6. Step 6: Final answer
    x = 241,225.66

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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.