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Finding the Fourth Proportional to 364,938.54, 503,505.12 and 211,947.24

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Solution

The fourth proportional to 364,938.54, 503,505.12 and 211,947.24 is: 292,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,938.54 : 503,505.12 = 211,947.24 : x
  2. Step 2: Convert to fraction form
    364,938.54/503,505.12 = 211,947.24/x
  3. Step 3: Cross multiply
    364,938.54x = 503,505.12 × 211,947.24
  4. Step 4: Simplify right side
    364,938.54x = 106,716,520,509.87
  5. Step 5: Solve for x
    x = 106,716,520,509.87/364,938.54
  6. Step 6: Final answer
    x = 292,423.27

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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.