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Finding the Fourth Proportional to 364,433.24, 502,921.66 and 203,303

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Solution

The fourth proportional to 364,433.24, 502,921.66 and 203,303 is: 280,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,433.24 : 502,921.66 = 203,303 : x
  2. Step 2: Convert to fraction form
    364,433.24/502,921.66 = 203,303/x
  3. Step 3: Cross multiply
    364,433.24x = 502,921.66 × 203,303
  4. Step 4: Simplify right side
    364,433.24x = 102,245,482,242.98
  5. Step 5: Solve for x
    x = 102,245,482,242.98/364,433.24
  6. Step 6: Final answer
    x = 280,560.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.