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Finding the Fourth Proportional to 364,349.37, 502,803.03 and 203,214.86

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Solution

The fourth proportional to 364,349.37, 502,803.03 and 203,214.86 is: 280,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,349.37 : 502,803.03 = 203,214.86 : x
  2. Step 2: Convert to fraction form
    364,349.37/502,803.03 = 203,214.86/x
  3. Step 3: Cross multiply
    364,349.37x = 502,803.03 × 203,214.86
  4. Step 4: Simplify right side
    364,349.37x = 102,177,046,339.49
  5. Step 5: Solve for x
    x = 102,177,046,339.49/364,349.37
  6. Step 6: Final answer
    x = 280,437.00

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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.