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Finding the Fourth Proportional to 365,054.56, 546,249.65 and 215,366.56

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Solution

The fourth proportional to 365,054.56, 546,249.65 and 215,366.56 is: 322,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,054.56 : 546,249.65 = 215,366.56 : x
  2. Step 2: Convert to fraction form
    365,054.56/546,249.65 = 215,366.56/x
  3. Step 3: Cross multiply
    365,054.56x = 546,249.65 × 215,366.56
  4. Step 4: Simplify right side
    365,054.56x = 117,643,908,021.70
  5. Step 5: Solve for x
    x = 117,643,908,021.70/365,054.56
  6. Step 6: Final answer
    x = 322,263.90

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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.