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Finding the Fourth Proportional to 535,533.53, 739,043.80 and 293,811.71

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Solution

The fourth proportional to 535,533.53, 739,043.80 and 293,811.71 is: 405,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,533.53 : 739,043.80 = 293,811.71 : x
  2. Step 2: Convert to fraction form
    535,533.53/739,043.80 = 293,811.71/x
  3. Step 3: Cross multiply
    535,533.53x = 739,043.80 × 293,811.71
  4. Step 4: Simplify right side
    535,533.53x = 217,139,718,213.15
  5. Step 5: Solve for x
    x = 217,139,718,213.15/535,533.53
  6. Step 6: Final answer
    x = 405,464.29

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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.