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Finding the Fourth Proportional to 338,534.98, 467,192.59 and 193,364.64

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Solution

The fourth proportional to 338,534.98, 467,192.59 and 193,364.64 is: 266,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,534.98 : 467,192.59 = 193,364.64 : x
  2. Step 2: Convert to fraction form
    338,534.98/467,192.59 = 193,364.64/x
  3. Step 3: Cross multiply
    338,534.98x = 467,192.59 × 193,364.64
  4. Step 4: Simplify right side
    338,534.98x = 90,338,526,492.61
  5. Step 5: Solve for x
    x = 90,338,526,492.61/338,534.98
  6. Step 6: Final answer
    x = 266,851.38

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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.