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Finding the Fourth Proportional to 338,840.57, 467,565.32 and 202,870.98

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Solution

The fourth proportional to 338,840.57, 467,565.32 and 202,870.98 is: 279,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,840.57 : 467,565.32 = 202,870.98 : x
  2. Step 2: Convert to fraction form
    338,840.57/467,565.32 = 202,870.98/x
  3. Step 3: Cross multiply
    338,840.57x = 467,565.32 × 202,870.98
  4. Step 4: Simplify right side
    338,840.57x = 94,855,433,668.06
  5. Step 5: Solve for x
    x = 94,855,433,668.06/338,840.57
  6. Step 6: Final answer
    x = 279,941.20

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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.