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Finding the Fourth Proportional to 364,058.56, 502,403.15 and 202,923.83

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Solution

The fourth proportional to 364,058.56, 502,403.15 and 202,923.83 is: 280,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,058.56 : 502,403.15 = 202,923.83 : x
  2. Step 2: Convert to fraction form
    364,058.56/502,403.15 = 202,923.83/x
  3. Step 3: Cross multiply
    364,058.56x = 502,403.15 × 202,923.83
  4. Step 4: Simplify right side
    364,058.56x = 101,949,567,875.43
  5. Step 5: Solve for x
    x = 101,949,567,875.43/364,058.56
  6. Step 6: Final answer
    x = 280,036.18

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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.