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Finding the Fourth Proportional to 364,437.54, 502,924.55 and 203,288.45

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Solution

The fourth proportional to 364,437.54, 502,924.55 and 203,288.45 is: 280,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,437.54 : 502,924.55 = 203,288.45 : x
  2. Step 2: Convert to fraction form
    364,437.54/502,924.55 = 203,288.45/x
  3. Step 3: Cross multiply
    364,437.54x = 502,924.55 × 203,288.45
  4. Step 4: Simplify right side
    364,437.54x = 102,238,748,705.38
  5. Step 5: Solve for x
    x = 102,238,748,705.38/364,437.54
  6. Step 6: Final answer
    x = 280,538.47

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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.