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Finding the Fourth Proportional to 364,058.94, 502,403.66 and 202,924.20

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Solution

The fourth proportional to 364,058.94, 502,403.66 and 202,924.20 is: 280,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,058.94 : 502,403.66 = 202,924.20 : x
  2. Step 2: Convert to fraction form
    364,058.94/502,403.66 = 202,924.20/x
  3. Step 3: Cross multiply
    364,058.94x = 502,403.66 × 202,924.20
  4. Step 4: Simplify right side
    364,058.94x = 101,949,861,289.88
  5. Step 5: Solve for x
    x = 101,949,861,289.88/364,058.94
  6. Step 6: Final answer
    x = 280,036.69

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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.