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Finding the Fourth Proportional to 364,064.12, 545,701.70 and 186,327.44

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Solution

The fourth proportional to 364,064.12, 545,701.70 and 186,327.44 is: 279,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,064.12 : 545,701.70 = 186,327.44 : x
  2. Step 2: Convert to fraction form
    364,064.12/545,701.70 = 186,327.44/x
  3. Step 3: Cross multiply
    364,064.12x = 545,701.70 × 186,327.44
  4. Step 4: Simplify right side
    364,064.12x = 101,679,197,104.50
  5. Step 5: Solve for x
    x = 101,679,197,104.50/364,064.12
  6. Step 6: Final answer
    x = 279,289.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.