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Finding the Fourth Proportional to 345,954.24, 477,416.64 and 186,978.24

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Solution

The fourth proportional to 345,954.24, 477,416.64 and 186,978.24 is: 258,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,954.24 : 477,416.64 = 186,978.24 : x
  2. Step 2: Convert to fraction form
    345,954.24/477,416.64 = 186,978.24/x
  3. Step 3: Cross multiply
    345,954.24x = 477,416.64 × 186,978.24
  4. Step 4: Simplify right side
    345,954.24x = 89,266,523,093.91
  5. Step 5: Solve for x
    x = 89,266,523,093.91/345,954.24
  6. Step 6: Final answer
    x = 258,029.86

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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.